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Finding the Fourth Proportional to 86,532.32, 129,821.54 and 27,369.08

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Solution

The fourth proportional to 86,532.32, 129,821.54 and 27,369.08 is: 41,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,532.32 : 129,821.54 = 27,369.08 : x
  2. Step 2: Convert to fraction form
    86,532.32/129,821.54 = 27,369.08/x
  3. Step 3: Cross multiply
    86,532.32x = 129,821.54 × 27,369.08
  4. Step 4: Simplify right side
    86,532.32x = 3,553,096,113.98
  5. Step 5: Solve for x
    x = 3,553,096,113.98/86,532.32
  6. Step 6: Final answer
    x = 41,060.91

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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.