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Finding the Fourth Proportional to 47,957.61, 71,980.73 and 24,281.78

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Solution

The fourth proportional to 47,957.61, 71,980.73 and 24,281.78 is: 36,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,957.61 : 71,980.73 = 24,281.78 : x
  2. Step 2: Convert to fraction form
    47,957.61/71,980.73 = 24,281.78/x
  3. Step 3: Cross multiply
    47,957.61x = 71,980.73 × 24,281.78
  4. Step 4: Simplify right side
    47,957.61x = 1,747,820,490.76
  5. Step 5: Solve for x
    x = 1,747,820,490.76/47,957.61
  6. Step 6: Final answer
    x = 36,445.11

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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.