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Finding the Fourth Proportional to 59,211.68, 81,712.13 and 31,987.77

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Solution

The fourth proportional to 59,211.68, 81,712.13 and 31,987.77 is: 44,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,211.68 : 81,712.13 = 31,987.77 : x
  2. Step 2: Convert to fraction form
    59,211.68/81,712.13 = 31,987.77/x
  3. Step 3: Cross multiply
    59,211.68x = 81,712.13 × 31,987.77
  4. Step 4: Simplify right side
    59,211.68x = 2,613,788,354.29
  5. Step 5: Solve for x
    x = 2,613,788,354.29/59,211.68
  6. Step 6: Final answer
    x = 44,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.