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Finding the Fourth Proportional to 31,382.64, 47,069.10 and 11,657.52

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Solution

The fourth proportional to 31,382.64, 47,069.10 and 11,657.52 is: 17,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.64 : 47,069.10 = 11,657.52 : x
  2. Step 2: Convert to fraction form
    31,382.64/47,069.10 = 11,657.52/x
  3. Step 3: Cross multiply
    31,382.64x = 47,069.10 × 11,657.52
  4. Step 4: Simplify right side
    31,382.64x = 548,708,974.63
  5. Step 5: Solve for x
    x = 548,708,974.63/31,382.64
  6. Step 6: Final answer
    x = 17,484.47

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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.