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Finding the Fourth Proportional to 75,345.13, 113,014.36 and 22,753

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Solution

The fourth proportional to 75,345.13, 113,014.36 and 22,753 is: 34,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,345.13 : 113,014.36 = 22,753 : x
  2. Step 2: Convert to fraction form
    75,345.13/113,014.36 = 22,753/x
  3. Step 3: Cross multiply
    75,345.13x = 113,014.36 × 22,753
  4. Step 4: Simplify right side
    75,345.13x = 2,571,415,733.08
  5. Step 5: Solve for x
    x = 2,571,415,733.08/75,345.13
  6. Step 6: Final answer
    x = 34,128.49

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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.