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Finding the Fourth Proportional to 102,713.50, 154,070.20 and 38,683.71

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Solution

The fourth proportional to 102,713.50, 154,070.20 and 38,683.71 is: 58,025.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.50 : 154,070.20 = 38,683.71 : x
  2. Step 2: Convert to fraction form
    102,713.50/154,070.20 = 38,683.71/x
  3. Step 3: Cross multiply
    102,713.50x = 154,070.20 × 38,683.71
  4. Step 4: Simplify right side
    102,713.50x = 5,960,006,984.80
  5. Step 5: Solve for x
    x = 5,960,006,984.80/102,713.50
  6. Step 6: Final answer
    x = 58,025.55

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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.