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Finding the Fourth Proportional to 52,092.16, 71,887.52 and 28,218.81

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Solution

The fourth proportional to 52,092.16, 71,887.52 and 28,218.81 is: 38,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.16 : 71,887.52 = 28,218.81 : x
  2. Step 2: Convert to fraction form
    52,092.16/71,887.52 = 28,218.81/x
  3. Step 3: Cross multiply
    52,092.16x = 71,887.52 × 28,218.81
  4. Step 4: Simplify right side
    52,092.16x = 2,028,580,608.38
  5. Step 5: Solve for x
    x = 2,028,580,608.38/52,092.16
  6. Step 6: Final answer
    x = 38,942.15

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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.