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Finding the Fourth Proportional to 47,402.04, 65,414.54 and 25,891.98

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Solution

The fourth proportional to 47,402.04, 65,414.54 and 25,891.98 is: 35,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,402.04 : 65,414.54 = 25,891.98 : x
  2. Step 2: Convert to fraction form
    47,402.04/65,414.54 = 25,891.98/x
  3. Step 3: Cross multiply
    47,402.04x = 65,414.54 × 25,891.98
  4. Step 4: Simplify right side
    47,402.04x = 1,693,711,961.39
  5. Step 5: Solve for x
    x = 1,693,711,961.39/47,402.04
  6. Step 6: Final answer
    x = 35,730.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.