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Finding the Fourth Proportional to 42,327.76, 63,491.10 and 14,254

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Solution

The fourth proportional to 42,327.76, 63,491.10 and 14,254 is: 21,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,327.76 : 63,491.10 = 14,254 : x
  2. Step 2: Convert to fraction form
    42,327.76/63,491.10 = 14,254/x
  3. Step 3: Cross multiply
    42,327.76x = 63,491.10 × 14,254
  4. Step 4: Simplify right side
    42,327.76x = 905,002,139.40
  5. Step 5: Solve for x
    x = 905,002,139.40/42,327.76
  6. Step 6: Final answer
    x = 21,380.82

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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.