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Finding the Fourth Proportional to 52,212.38, 72,052.88 and 29,550.74

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Solution

The fourth proportional to 52,212.38, 72,052.88 and 29,550.74 is: 40,779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,212.38 : 72,052.88 = 29,550.74 : x
  2. Step 2: Convert to fraction form
    52,212.38/72,052.88 = 29,550.74/x
  3. Step 3: Cross multiply
    52,212.38x = 72,052.88 × 29,550.74
  4. Step 4: Simplify right side
    52,212.38x = 2,129,215,923.13
  5. Step 5: Solve for x
    x = 2,129,215,923.13/52,212.38
  6. Step 6: Final answer
    x = 40,779.91

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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.