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Finding the Fourth Proportional to 86,461.56, 129,689.10 and 27,300.78

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Solution

The fourth proportional to 86,461.56, 129,689.10 and 27,300.78 is: 40,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461.56 : 129,689.10 = 27,300.78 : x
  2. Step 2: Convert to fraction form
    86,461.56/129,689.10 = 27,300.78/x
  3. Step 3: Cross multiply
    86,461.56x = 129,689.10 × 27,300.78
  4. Step 4: Simplify right side
    86,461.56x = 3,540,613,587.50
  5. Step 5: Solve for x
    x = 3,540,613,587.50/86,461.56
  6. Step 6: Final answer
    x = 40,950.15

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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.