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Finding the Fourth Proportional to 38,744, 58,124.64 and 14,120

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Solution

The fourth proportional to 38,744, 58,124.64 and 14,120 is: 21,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744 : 58,124.64 = 14,120 : x
  2. Step 2: Convert to fraction form
    38,744/58,124.64 = 14,120/x
  3. Step 3: Cross multiply
    38,744x = 58,124.64 × 14,120
  4. Step 4: Simplify right side
    38,744x = 820,719,916.80
  5. Step 5: Solve for x
    x = 820,719,916.80/38,744
  6. Step 6: Final answer
    x = 21,183.15

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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.