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Finding the Fourth Proportional to 38,444.81, 57,666.85 and 12,149.55

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Solution

The fourth proportional to 38,444.81, 57,666.85 and 12,149.55 is: 18,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444.81 : 57,666.85 = 12,149.55 : x
  2. Step 2: Convert to fraction form
    38,444.81/57,666.85 = 12,149.55/x
  3. Step 3: Cross multiply
    38,444.81x = 57,666.85 × 12,149.55
  4. Step 4: Simplify right side
    38,444.81x = 700,626,277.42
  5. Step 5: Solve for x
    x = 700,626,277.42/38,444.81
  6. Step 6: Final answer
    x = 18,224.21

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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.