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Finding the Fourth Proportional to 86,459.74, 129,747.93 and 33,862.66

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Solution

The fourth proportional to 86,459.74, 129,747.93 and 33,862.66 is: 50,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,459.74 : 129,747.93 = 33,862.66 : x
  2. Step 2: Convert to fraction form
    86,459.74/129,747.93 = 33,862.66/x
  3. Step 3: Cross multiply
    86,459.74x = 129,747.93 × 33,862.66
  4. Step 4: Simplify right side
    86,459.74x = 4,393,610,039.29
  5. Step 5: Solve for x
    x = 4,393,610,039.29/86,459.74
  6. Step 6: Final answer
    x = 50,816.83

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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.