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Finding the Fourth Proportional to 47,697.52, 71,557.08 and 25,499.20

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Solution

The fourth proportional to 47,697.52, 71,557.08 and 25,499.20 is: 38,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.52 : 71,557.08 = 25,499.20 : x
  2. Step 2: Convert to fraction form
    47,697.52/71,557.08 = 25,499.20/x
  3. Step 3: Cross multiply
    47,697.52x = 71,557.08 × 25,499.20
  4. Step 4: Simplify right side
    47,697.52x = 1,824,648,294.34
  5. Step 5: Solve for x
    x = 1,824,648,294.34/47,697.52
  6. Step 6: Final answer
    x = 38,254.57

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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.