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Finding the Fourth Proportional to 71,643.40, 98,865.92 and 39,811.48

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Solution

The fourth proportional to 71,643.40, 98,865.92 and 39,811.48 is: 54,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,643.40 : 98,865.92 = 39,811.48 : x
  2. Step 2: Convert to fraction form
    71,643.40/98,865.92 = 39,811.48/x
  3. Step 3: Cross multiply
    71,643.40x = 98,865.92 × 39,811.48
  4. Step 4: Simplify right side
    71,643.40x = 3,935,998,449.13
  5. Step 5: Solve for x
    x = 3,935,998,449.13/71,643.40
  6. Step 6: Final answer
    x = 54,938.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.