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Finding the Fourth Proportional to 47,382.34, 71,073.22 and 11,843.48

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Solution

The fourth proportional to 47,382.34, 71,073.22 and 11,843.48 is: 17,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,382.34 : 71,073.22 = 11,843.48 : x
  2. Step 2: Convert to fraction form
    47,382.34/71,073.22 = 11,843.48/x
  3. Step 3: Cross multiply
    47,382.34x = 71,073.22 × 11,843.48
  4. Step 4: Simplify right side
    47,382.34x = 841,754,259.61
  5. Step 5: Solve for x
    x = 841,754,259.61/47,382.34
  6. Step 6: Final answer
    x = 17,765.15

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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.