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Finding the Fourth Proportional to 117,315.60, 175,930.20 and 38,432.40

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Solution

The fourth proportional to 117,315.60, 175,930.20 and 38,432.40 is: 57,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,315.60 : 175,930.20 = 38,432.40 : x
  2. Step 2: Convert to fraction form
    117,315.60/175,930.20 = 38,432.40/x
  3. Step 3: Cross multiply
    117,315.60x = 175,930.20 × 38,432.40
  4. Step 4: Simplify right side
    117,315.60x = 6,761,419,818.48
  5. Step 5: Solve for x
    x = 6,761,419,818.48/117,315.60
  6. Step 6: Final answer
    x = 57,634.45

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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.