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Finding the Fourth Proportional to 86,537.90, 129,824.40 and 49,115.90

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Solution

The fourth proportional to 86,537.90, 129,824.40 and 49,115.90 is: 73,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,537.90 : 129,824.40 = 49,115.90 : x
  2. Step 2: Convert to fraction form
    86,537.90/129,824.40 = 49,115.90/x
  3. Step 3: Cross multiply
    86,537.90x = 129,824.40 × 49,115.90
  4. Step 4: Simplify right side
    86,537.90x = 6,376,442,247.96
  5. Step 5: Solve for x
    x = 6,376,442,247.96/86,537.90
  6. Step 6: Final answer
    x = 73,683.81

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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.