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Finding the Fourth Proportional to 75,422,978.12, 113,088,165.14 and 29,311,004.90

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Solution

The fourth proportional to 75,422,978.12, 113,088,165.14 and 29,311,004.90 is: 43,948,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,422,978.12 : 113,088,165.14 = 29,311,004.90 : x
  2. Step 2: Convert to fraction form
    75,422,978.12/113,088,165.14 = 29,311,004.90/x
  3. Step 3: Cross multiply
    75,422,978.12x = 113,088,165.14 × 29,311,004.90
  4. Step 4: Simplify right side
    75,422,978.12x = 3,314,727,762,550,549
  5. Step 5: Solve for x
    x = 3,314,727,762,550,549/75,422,978.12
  6. Step 6: Final answer
    x = 43,948,513.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.