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Finding the Fourth Proportional to 31,753.60, 47,572.80 and 19,427.20

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Solution

The fourth proportional to 31,753.60, 47,572.80 and 19,427.20 is: 29,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.60 : 47,572.80 = 19,427.20 : x
  2. Step 2: Convert to fraction form
    31,753.60/47,572.80 = 19,427.20/x
  3. Step 3: Cross multiply
    31,753.60x = 47,572.80 × 19,427.20
  4. Step 4: Simplify right side
    31,753.60x = 924,206,300.16
  5. Step 5: Solve for x
    x = 924,206,300.16/31,753.60
  6. Step 6: Final answer
    x = 29,105.56

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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.