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Finding the Fourth Proportional to 52,443.38, 72,372.36 and 29,782.84

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Solution

The fourth proportional to 52,443.38, 72,372.36 and 29,782.84 is: 41,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,443.38 : 72,372.36 = 29,782.84 : x
  2. Step 2: Convert to fraction form
    52,443.38/72,372.36 = 29,782.84/x
  3. Step 3: Cross multiply
    52,443.38x = 72,372.36 × 29,782.84
  4. Step 4: Simplify right side
    52,443.38x = 2,155,454,269.39
  5. Step 5: Solve for x
    x = 2,155,454,269.39/52,443.38
  6. Step 6: Final answer
    x = 41,100.60

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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.