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Finding the Fourth Proportional to 52,752.26, 72,799.76 and 28,881.16

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Solution

The fourth proportional to 52,752.26, 72,799.76 and 28,881.16 is: 39,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,752.26 : 72,799.76 = 28,881.16 : x
  2. Step 2: Convert to fraction form
    52,752.26/72,799.76 = 28,881.16/x
  3. Step 3: Cross multiply
    52,752.26x = 72,799.76 × 28,881.16
  4. Step 4: Simplify right side
    52,752.26x = 2,102,541,406.73
  5. Step 5: Solve for x
    x = 2,102,541,406.73/52,752.26
  6. Step 6: Final answer
    x = 39,856.90

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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.