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Finding the Fourth Proportional to 31,147.65, 42,968.80 and 20,387.78

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Solution

The fourth proportional to 31,147.65, 42,968.80 and 20,387.78 is: 28,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.65 : 42,968.80 = 20,387.78 : x
  2. Step 2: Convert to fraction form
    31,147.65/42,968.80 = 20,387.78/x
  3. Step 3: Cross multiply
    31,147.65x = 42,968.80 × 20,387.78
  4. Step 4: Simplify right side
    31,147.65x = 876,038,441.26
  5. Step 5: Solve for x
    x = 876,038,441.26/31,147.65
  6. Step 6: Final answer
    x = 28,125.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.