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Finding the Fourth Proportional to 42,138.40, 63,092.40 and 32,922.40

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Solution

The fourth proportional to 42,138.40, 63,092.40 and 32,922.40 is: 49,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138.40 : 63,092.40 = 32,922.40 : x
  2. Step 2: Convert to fraction form
    42,138.40/63,092.40 = 32,922.40/x
  3. Step 3: Cross multiply
    42,138.40x = 63,092.40 × 32,922.40
  4. Step 4: Simplify right side
    42,138.40x = 2,077,153,229.76
  5. Step 5: Solve for x
    x = 2,077,153,229.76/42,138.40
  6. Step 6: Final answer
    x = 49,293.60

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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.