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Finding the Fourth Proportional to 47,870, 66,062.12 and 29,959.28

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Solution

The fourth proportional to 47,870, 66,062.12 and 29,959.28 is: 41,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,870 : 66,062.12 = 29,959.28 : x
  2. Step 2: Convert to fraction form
    47,870/66,062.12 = 29,959.28/x
  3. Step 3: Cross multiply
    47,870x = 66,062.12 × 29,959.28
  4. Step 4: Simplify right side
    47,870x = 1,979,173,550.47
  5. Step 5: Solve for x
    x = 1,979,173,550.47/47,870
  6. Step 6: Final answer
    x = 41,344.76

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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.