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Finding the Fourth Proportional to 76,169.43, 114,268.20 and 25,563.47

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Solution

The fourth proportional to 76,169.43, 114,268.20 and 25,563.47 is: 38,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,169.43 : 114,268.20 = 25,563.47 : x
  2. Step 2: Convert to fraction form
    76,169.43/114,268.20 = 25,563.47/x
  3. Step 3: Cross multiply
    76,169.43x = 114,268.20 × 25,563.47
  4. Step 4: Simplify right side
    76,169.43x = 2,921,091,702.65
  5. Step 5: Solve for x
    x = 2,921,091,702.65/76,169.43
  6. Step 6: Final answer
    x = 38,349.92

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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.