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Finding the Fourth Proportional to 47,474.48, 71,254.76 and 25,306.48

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Solution

The fourth proportional to 47,474.48, 71,254.76 and 25,306.48 is: 37,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,474.48 : 71,254.76 = 25,306.48 : x
  2. Step 2: Convert to fraction form
    47,474.48/71,254.76 = 25,306.48/x
  3. Step 3: Cross multiply
    47,474.48x = 71,254.76 × 25,306.48
  4. Step 4: Simplify right side
    47,474.48x = 1,803,207,158.84
  5. Step 5: Solve for x
    x = 1,803,207,158.84/47,474.48
  6. Step 6: Final answer
    x = 37,982.66

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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.