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Finding the Fourth Proportional to 47,854.28, 71,702.43 and 27,807.50

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Solution

The fourth proportional to 47,854.28, 71,702.43 and 27,807.50 is: 41,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,854.28 : 71,702.43 = 27,807.50 : x
  2. Step 2: Convert to fraction form
    47,854.28/71,702.43 = 27,807.50/x
  3. Step 3: Cross multiply
    47,854.28x = 71,702.43 × 27,807.50
  4. Step 4: Simplify right side
    47,854.28x = 1,993,864,963.71
  5. Step 5: Solve for x
    x = 1,993,864,963.71/47,854.28
  6. Step 6: Final answer
    x = 41,665.34

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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.