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Finding the Fourth Proportional to 52,816.38, 72,886.67 and 28,943.92

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Solution

The fourth proportional to 52,816.38, 72,886.67 and 28,943.92 is: 39,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,816.38 : 72,886.67 = 28,943.92 : x
  2. Step 2: Convert to fraction form
    52,816.38/72,886.67 = 28,943.92/x
  3. Step 3: Cross multiply
    52,816.38x = 72,886.67 × 28,943.92
  4. Step 4: Simplify right side
    52,816.38x = 2,109,625,945.55
  5. Step 5: Solve for x
    x = 2,109,625,945.55/52,816.38
  6. Step 6: Final answer
    x = 39,942.65

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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.