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Finding the Fourth Proportional to 86,814.60, 130,229.10 and 27,648.60

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Solution

The fourth proportional to 86,814.60, 130,229.10 and 27,648.60 is: 41,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,814.60 : 130,229.10 = 27,648.60 : x
  2. Step 2: Convert to fraction form
    86,814.60/130,229.10 = 27,648.60/x
  3. Step 3: Cross multiply
    86,814.60x = 130,229.10 × 27,648.60
  4. Step 4: Simplify right side
    86,814.60x = 3,600,652,294.26
  5. Step 5: Solve for x
    x = 3,600,652,294.26/86,814.60
  6. Step 6: Final answer
    x = 41,475.19

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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.