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Finding the Fourth Proportional to 86,292, 129,251.04 and 41,825.73

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Solution

The fourth proportional to 86,292, 129,251.04 and 41,825.73 is: 62,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,292 : 129,251.04 = 41,825.73 : x
  2. Step 2: Convert to fraction form
    86,292/129,251.04 = 41,825.73/x
  3. Step 3: Cross multiply
    86,292x = 129,251.04 × 41,825.73
  4. Step 4: Simplify right side
    86,292x = 5,406,019,101.26
  5. Step 5: Solve for x
    x = 5,406,019,101.26/86,292
  6. Step 6: Final answer
    x = 62,647.98

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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.