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Finding the Fourth Proportional to 86,706.50, 130,046.18 and 27,534.38

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Solution

The fourth proportional to 86,706.50, 130,046.18 and 27,534.38 is: 41,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.50 : 130,046.18 = 27,534.38 : x
  2. Step 2: Convert to fraction form
    86,706.50/130,046.18 = 27,534.38/x
  3. Step 3: Cross multiply
    86,706.50x = 130,046.18 × 27,534.38
  4. Step 4: Simplify right side
    86,706.50x = 3,580,740,149.77
  5. Step 5: Solve for x
    x = 3,580,740,149.77/86,706.50
  6. Step 6: Final answer
    x = 41,297.25

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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.