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Finding the Fourth Proportional to 52,046.50, 71,833.90 and 29,690.50

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Solution

The fourth proportional to 52,046.50, 71,833.90 and 29,690.50 is: 40,978.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.50 : 71,833.90 = 29,690.50 : x
  2. Step 2: Convert to fraction form
    52,046.50/71,833.90 = 29,690.50/x
  3. Step 3: Cross multiply
    52,046.50x = 71,833.90 × 29,690.50
  4. Step 4: Simplify right side
    52,046.50x = 2,132,784,407.95
  5. Step 5: Solve for x
    x = 2,132,784,407.95/52,046.50
  6. Step 6: Final answer
    x = 40,978.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.