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Finding the Fourth Proportional to 87,233.76, 130,746.96 and 51,645.60

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Solution

The fourth proportional to 87,233.76, 130,746.96 and 51,645.60 is: 77,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,233.76 : 130,746.96 = 51,645.60 : x
  2. Step 2: Convert to fraction form
    87,233.76/130,746.96 = 51,645.60/x
  3. Step 3: Cross multiply
    87,233.76x = 130,746.96 × 51,645.60
  4. Step 4: Simplify right side
    87,233.76x = 6,752,505,197.38
  5. Step 5: Solve for x
    x = 6,752,505,197.38/87,233.76
  6. Step 6: Final answer
    x = 77,407.02

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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.