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Finding the Fourth Proportional to 92,017.60, 138,045.60 and 52,542.40

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Solution

The fourth proportional to 92,017.60, 138,045.60 and 52,542.40 is: 78,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,017.60 : 138,045.60 = 52,542.40 : x
  2. Step 2: Convert to fraction form
    92,017.60/138,045.60 = 52,542.40/x
  3. Step 3: Cross multiply
    92,017.60x = 138,045.60 × 52,542.40
  4. Step 4: Simplify right side
    92,017.60x = 7,253,247,133.44
  5. Step 5: Solve for x
    x = 7,253,247,133.44/92,017.60
  6. Step 6: Final answer
    x = 78,824.56

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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.