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Finding the Fourth Proportional to 42,624, 63,961.92 and 18,000

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Solution

The fourth proportional to 42,624, 63,961.92 and 18,000 is: 27,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624 : 63,961.92 = 18,000 : x
  2. Step 2: Convert to fraction form
    42,624/63,961.92 = 18,000/x
  3. Step 3: Cross multiply
    42,624x = 63,961.92 × 18,000
  4. Step 4: Simplify right side
    42,624x = 1,151,314,560
  5. Step 5: Solve for x
    x = 1,151,314,560/42,624
  6. Step 6: Final answer
    x = 27,010.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.