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Finding the Fourth Proportional to 75,887.75, 113,837.13 and 29,140.63

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Solution

The fourth proportional to 75,887.75, 113,837.13 and 29,140.63 is: 43,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887.75 : 113,837.13 = 29,140.63 : x
  2. Step 2: Convert to fraction form
    75,887.75/113,837.13 = 29,140.63/x
  3. Step 3: Cross multiply
    75,887.75x = 113,837.13 × 29,140.63
  4. Step 4: Simplify right side
    75,887.75x = 3,317,285,401.00
  5. Step 5: Solve for x
    x = 3,317,285,401.00/75,887.75
  6. Step 6: Final answer
    x = 43,713.05

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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.