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Finding the Fourth Proportional to 47,871.19, 66,065.13 and 27,734.41

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Solution

The fourth proportional to 47,871.19, 66,065.13 and 27,734.41 is: 38,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,871.19 : 66,065.13 = 27,734.41 : x
  2. Step 2: Convert to fraction form
    47,871.19/66,065.13 = 27,734.41/x
  3. Step 3: Cross multiply
    47,871.19x = 66,065.13 × 27,734.41
  4. Step 4: Simplify right side
    47,871.19x = 1,832,276,933.13
  5. Step 5: Solve for x
    x = 1,832,276,933.13/47,871.19
  6. Step 6: Final answer
    x = 38,275.15

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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.