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Finding the Fourth Proportional to 92,047.40, 138,052.20 and 25,470.80

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Solution

The fourth proportional to 92,047.40, 138,052.20 and 25,470.80 is: 38,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,047.40 : 138,052.20 = 25,470.80 : x
  2. Step 2: Convert to fraction form
    92,047.40/138,052.20 = 25,470.80/x
  3. Step 3: Cross multiply
    92,047.40x = 138,052.20 × 25,470.80
  4. Step 4: Simplify right side
    92,047.40x = 3,516,299,975.76
  5. Step 5: Solve for x
    x = 3,516,299,975.76/92,047.40
  6. Step 6: Final answer
    x = 38,200.97

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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.