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Finding the Fourth Proportional to 38,191.38, 57,276 and 16,004.16

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Solution

The fourth proportional to 38,191.38, 57,276 and 16,004.16 is: 24,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.38 : 57,276 = 16,004.16 : x
  2. Step 2: Convert to fraction form
    38,191.38/57,276 = 16,004.16/x
  3. Step 3: Cross multiply
    38,191.38x = 57,276 × 16,004.16
  4. Step 4: Simplify right side
    38,191.38x = 916,654,268.16
  5. Step 5: Solve for x
    x = 916,654,268.16/38,191.38
  6. Step 6: Final answer
    x = 24,001.60

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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.