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Finding the Fourth Proportional to 38,206.38, 57,298.50 and 16,019.16

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Solution

The fourth proportional to 38,206.38, 57,298.50 and 16,019.16 is: 24,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.38 : 57,298.50 = 16,019.16 : x
  2. Step 2: Convert to fraction form
    38,206.38/57,298.50 = 16,019.16/x
  3. Step 3: Cross multiply
    38,206.38x = 57,298.50 × 16,019.16
  4. Step 4: Simplify right side
    38,206.38x = 917,873,839.26
  5. Step 5: Solve for x
    x = 917,873,839.26/38,206.38
  6. Step 6: Final answer
    x = 24,024.10

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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.