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Finding the Fourth Proportional to 57,714.68, 86,506.40 and 24,413.96

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Solution

The fourth proportional to 57,714.68, 86,506.40 and 24,413.96 is: 36,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,714.68 : 86,506.40 = 24,413.96 : x
  2. Step 2: Convert to fraction form
    57,714.68/86,506.40 = 24,413.96/x
  3. Step 3: Cross multiply
    57,714.68x = 86,506.40 × 24,413.96
  4. Step 4: Simplify right side
    57,714.68x = 2,111,963,789.34
  5. Step 5: Solve for x
    x = 2,111,963,789.34/57,714.68
  6. Step 6: Final answer
    x = 36,593.18

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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.