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Finding the Fourth Proportional to 52,381.64, 72,290.52 and 29,724.52

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Solution

The fourth proportional to 52,381.64, 72,290.52 and 29,724.52 is: 41,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,381.64 : 72,290.52 = 29,724.52 : x
  2. Step 2: Convert to fraction form
    52,381.64/72,290.52 = 29,724.52/x
  3. Step 3: Cross multiply
    52,381.64x = 72,290.52 × 29,724.52
  4. Step 4: Simplify right side
    52,381.64x = 2,148,801,007.55
  5. Step 5: Solve for x
    x = 2,148,801,007.55/52,381.64
  6. Step 6: Final answer
    x = 41,022.03

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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.