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Finding the Fourth Proportional to 86,503.69, 129,806.78 and 36,581.05

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Solution

The fourth proportional to 86,503.69, 129,806.78 and 36,581.05 is: 54,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,503.69 : 129,806.78 = 36,581.05 : x
  2. Step 2: Convert to fraction form
    86,503.69/129,806.78 = 36,581.05/x
  3. Step 3: Cross multiply
    86,503.69x = 129,806.78 × 36,581.05
  4. Step 4: Simplify right side
    86,503.69x = 4,748,468,126.61
  5. Step 5: Solve for x
    x = 4,748,468,126.61/86,503.69
  6. Step 6: Final answer
    x = 54,893.24

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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.