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Finding the Fourth Proportional to 38,381.75, 57,547.89 and 16,189.19

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Solution

The fourth proportional to 38,381.75, 57,547.89 and 16,189.19 is: 24,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.75 : 57,547.89 = 16,189.19 : x
  2. Step 2: Convert to fraction form
    38,381.75/57,547.89 = 16,189.19/x
  3. Step 3: Cross multiply
    38,381.75x = 57,547.89 × 16,189.19
  4. Step 4: Simplify right side
    38,381.75x = 931,653,437.57
  5. Step 5: Solve for x
    x = 931,653,437.57/38,381.75
  6. Step 6: Final answer
    x = 24,273.35

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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.