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Finding the Fourth Proportional to 57,772.56, 86,641.20 and 24,492

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Solution

The fourth proportional to 57,772.56, 86,641.20 and 24,492 is: 36,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,772.56 : 86,641.20 = 24,492 : x
  2. Step 2: Convert to fraction form
    57,772.56/86,641.20 = 24,492/x
  3. Step 3: Cross multiply
    57,772.56x = 86,641.20 × 24,492
  4. Step 4: Simplify right side
    57,772.56x = 2,122,016,270.40
  5. Step 5: Solve for x
    x = 2,122,016,270.40/57,772.56
  6. Step 6: Final answer
    x = 36,730.52

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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.