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Finding the Fourth Proportional to 86,564.92, 129,864.21 and 33,253

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Solution

The fourth proportional to 86,564.92, 129,864.21 and 33,253 is: 49,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,564.92 : 129,864.21 = 33,253 : x
  2. Step 2: Convert to fraction form
    86,564.92/129,864.21 = 33,253/x
  3. Step 3: Cross multiply
    86,564.92x = 129,864.21 × 33,253
  4. Step 4: Simplify right side
    86,564.92x = 4,318,374,575.13
  5. Step 5: Solve for x
    x = 4,318,374,575.13/86,564.92
  6. Step 6: Final answer
    x = 49,885.97

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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.