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Finding the Fourth Proportional to 71,743.48, 107,543.81 and 34,259.73

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Solution

The fourth proportional to 71,743.48, 107,543.81 and 34,259.73 is: 51,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743.48 : 107,543.81 = 34,259.73 : x
  2. Step 2: Convert to fraction form
    71,743.48/107,543.81 = 34,259.73/x
  3. Step 3: Cross multiply
    71,743.48x = 107,543.81 × 34,259.73
  4. Step 4: Simplify right side
    71,743.48x = 3,684,422,446.95
  5. Step 5: Solve for x
    x = 3,684,422,446.95/71,743.48
  6. Step 6: Final answer
    x = 51,355.50

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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.