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Finding the Fourth Proportional to 42,232.80, 63,344.46 and 10,642.86

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Solution

The fourth proportional to 42,232.80, 63,344.46 and 10,642.86 is: 15,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232.80 : 63,344.46 = 10,642.86 : x
  2. Step 2: Convert to fraction form
    42,232.80/63,344.46 = 10,642.86/x
  3. Step 3: Cross multiply
    42,232.80x = 63,344.46 × 10,642.86
  4. Step 4: Simplify right side
    42,232.80x = 674,166,219.56
  5. Step 5: Solve for x
    x = 674,166,219.56/42,232.80
  6. Step 6: Final answer
    x = 15,963.10

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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.