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Finding the Fourth Proportional to 42,963.12, 64,444.56 and 13,382.64

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Solution

The fourth proportional to 42,963.12, 64,444.56 and 13,382.64 is: 20,073.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,963.12 : 64,444.56 = 13,382.64 : x
  2. Step 2: Convert to fraction form
    42,963.12/64,444.56 = 13,382.64/x
  3. Step 3: Cross multiply
    42,963.12x = 64,444.56 × 13,382.64
  4. Step 4: Simplify right side
    42,963.12x = 862,438,346.44
  5. Step 5: Solve for x
    x = 862,438,346.44/42,963.12
  6. Step 6: Final answer
    x = 20,073.92

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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.