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Finding the Fourth Proportional to 57,657.08, 86,494.52 and 24,377.28

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Solution

The fourth proportional to 57,657.08, 86,494.52 and 24,377.28 is: 36,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657.08 : 86,494.52 = 24,377.28 : x
  2. Step 2: Convert to fraction form
    57,657.08/86,494.52 = 24,377.28/x
  3. Step 3: Cross multiply
    57,657.08x = 86,494.52 × 24,377.28
  4. Step 4: Simplify right side
    57,657.08x = 2,108,501,193.45
  5. Step 5: Solve for x
    x = 2,108,501,193.45/57,657.08
  6. Step 6: Final answer
    x = 36,569.69

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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.