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Finding the Fourth Proportional to 52,524.38, 72,472.76 and 30,716.45

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Solution

The fourth proportional to 52,524.38, 72,472.76 and 30,716.45 is: 42,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524.38 : 72,472.76 = 30,716.45 : x
  2. Step 2: Convert to fraction form
    52,524.38/72,472.76 = 30,716.45/x
  3. Step 3: Cross multiply
    52,524.38x = 72,472.76 × 30,716.45
  4. Step 4: Simplify right side
    52,524.38x = 2,226,105,779.92
  5. Step 5: Solve for x
    x = 2,226,105,779.92/52,524.38
  6. Step 6: Final answer
    x = 42,382.33

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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.