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Finding the Fourth Proportional to 71,825.71, 107,702.52 and 41,849.64

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Solution

The fourth proportional to 71,825.71, 107,702.52 and 41,849.64 is: 62,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.71 : 107,702.52 = 41,849.64 : x
  2. Step 2: Convert to fraction form
    71,825.71/107,702.52 = 41,849.64/x
  3. Step 3: Cross multiply
    71,825.71x = 107,702.52 × 41,849.64
  4. Step 4: Simplify right side
    71,825.71x = 4,507,311,285.21
  5. Step 5: Solve for x
    x = 4,507,311,285.21/71,825.71
  6. Step 6: Final answer
    x = 62,753.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.