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Finding the Fourth Proportional to 52,407.70, 78,539.55 and 33,630.10

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Solution

The fourth proportional to 52,407.70, 78,539.55 and 33,630.10 is: 50,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.70 : 78,539.55 = 33,630.10 : x
  2. Step 2: Convert to fraction form
    52,407.70/78,539.55 = 33,630.10/x
  3. Step 3: Cross multiply
    52,407.70x = 78,539.55 × 33,630.10
  4. Step 4: Simplify right side
    52,407.70x = 2,641,292,920.46
  5. Step 5: Solve for x
    x = 2,641,292,920.46/52,407.70
  6. Step 6: Final answer
    x = 50,398.95

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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.