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Finding the Fourth Proportional to 32,449, 48,675.90 and 13,981

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Solution

The fourth proportional to 32,449, 48,675.90 and 13,981 is: 20,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449 : 48,675.90 = 13,981 : x
  2. Step 2: Convert to fraction form
    32,449/48,675.90 = 13,981/x
  3. Step 3: Cross multiply
    32,449x = 48,675.90 × 13,981
  4. Step 4: Simplify right side
    32,449x = 680,537,757.90
  5. Step 5: Solve for x
    x = 680,537,757.90/32,449
  6. Step 6: Final answer
    x = 20,972.53

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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.