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Finding the Fourth Proportional to 47,740.38, 71,630.82 and 25,548

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Solution

The fourth proportional to 47,740.38, 71,630.82 and 25,548 is: 38,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740.38 : 71,630.82 = 25,548 : x
  2. Step 2: Convert to fraction form
    47,740.38/71,630.82 = 25,548/x
  3. Step 3: Cross multiply
    47,740.38x = 71,630.82 × 25,548
  4. Step 4: Simplify right side
    47,740.38x = 1,830,024,189.36
  5. Step 5: Solve for x
    x = 1,830,024,189.36/47,740.38
  6. Step 6: Final answer
    x = 38,332.84

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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.