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Finding the Fourth Proportional to 92,471.76, 138,713.04 and 25,909.92

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Solution

The fourth proportional to 92,471.76, 138,713.04 and 25,909.92 is: 38,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,471.76 : 138,713.04 = 25,909.92 : x
  2. Step 2: Convert to fraction form
    92,471.76/138,713.04 = 25,909.92/x
  3. Step 3: Cross multiply
    92,471.76x = 138,713.04 × 25,909.92
  4. Step 4: Simplify right side
    92,471.76x = 3,594,043,769.36
  5. Step 5: Solve for x
    x = 3,594,043,769.36/92,471.76
  6. Step 6: Final answer
    x = 38,866.39

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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.