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Finding the Fourth Proportional to 48,380.68, 72,555.66 and 15,541

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Solution

The fourth proportional to 48,380.68, 72,555.66 and 15,541 is: 23,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380.68 : 72,555.66 = 15,541 : x
  2. Step 2: Convert to fraction form
    48,380.68/72,555.66 = 15,541/x
  3. Step 3: Cross multiply
    48,380.68x = 72,555.66 × 15,541
  4. Step 4: Simplify right side
    48,380.68x = 1,127,587,512.06
  5. Step 5: Solve for x
    x = 1,127,587,512.06/48,380.68
  6. Step 6: Final answer
    x = 23,306.57

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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.