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Finding the Fourth Proportional to 38,124.84, 57,191.10 and 13,164.20

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Solution

The fourth proportional to 38,124.84, 57,191.10 and 13,164.20 is: 19,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124.84 : 57,191.10 = 13,164.20 : x
  2. Step 2: Convert to fraction form
    38,124.84/57,191.10 = 13,164.20/x
  3. Step 3: Cross multiply
    38,124.84x = 57,191.10 × 13,164.20
  4. Step 4: Simplify right side
    38,124.84x = 752,875,078.62
  5. Step 5: Solve for x
    x = 752,875,078.62/38,124.84
  6. Step 6: Final answer
    x = 19,747.63

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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.