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Finding the Fourth Proportional to 86,461.93, 129,706.30 and 36,542.24

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Solution

The fourth proportional to 86,461.93, 129,706.30 and 36,542.24 is: 54,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461.93 : 129,706.30 = 36,542.24 : x
  2. Step 2: Convert to fraction form
    86,461.93/129,706.30 = 36,542.24/x
  3. Step 3: Cross multiply
    86,461.93x = 129,706.30 × 36,542.24
  4. Step 4: Simplify right side
    86,461.93x = 4,739,758,394.75
  5. Step 5: Solve for x
    x = 4,739,758,394.75/86,461.93
  6. Step 6: Final answer
    x = 54,819.02

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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.