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Finding the Fourth Proportional to 86,736.81, 130,105.25 and 24,407.31

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Solution

The fourth proportional to 86,736.81, 130,105.25 and 24,407.31 is: 36,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,736.81 : 130,105.25 = 24,407.31 : x
  2. Step 2: Convert to fraction form
    86,736.81/130,105.25 = 24,407.31/x
  3. Step 3: Cross multiply
    86,736.81x = 130,105.25 × 24,407.31
  4. Step 4: Simplify right side
    86,736.81x = 3,175,519,169.38
  5. Step 5: Solve for x
    x = 3,175,519,169.38/86,736.81
  6. Step 6: Final answer
    x = 36,610.97

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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.