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Finding the Fourth Proportional to 52,423.38, 72,345.69 and 29,761.86

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Solution

The fourth proportional to 52,423.38, 72,345.69 and 29,761.86 is: 41,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,423.38 : 72,345.69 = 29,761.86 : x
  2. Step 2: Convert to fraction form
    52,423.38/72,345.69 = 29,761.86/x
  3. Step 3: Cross multiply
    52,423.38x = 72,345.69 × 29,761.86
  4. Step 4: Simplify right side
    52,423.38x = 2,153,142,297.38
  5. Step 5: Solve for x
    x = 2,153,142,297.38/52,423.38
  6. Step 6: Final answer
    x = 41,072.18

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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.