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Finding the Fourth Proportional to 52,605.38, 72,585.78 and 29,943.05

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Solution

The fourth proportional to 52,605.38, 72,585.78 and 29,943.05 is: 41,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.38 : 72,585.78 = 29,943.05 : x
  2. Step 2: Convert to fraction form
    52,605.38/72,585.78 = 29,943.05/x
  3. Step 3: Cross multiply
    52,605.38x = 72,585.78 × 29,943.05
  4. Step 4: Simplify right side
    52,605.38x = 2,173,439,276.90
  5. Step 5: Solve for x
    x = 2,173,439,276.90/52,605.38
  6. Step 6: Final answer
    x = 41,315.92

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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.