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Finding the Fourth Proportional to 71,871.32, 107,814.36 and 27,535.52

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Solution

The fourth proportional to 71,871.32, 107,814.36 and 27,535.52 is: 41,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.32 : 107,814.36 = 27,535.52 : x
  2. Step 2: Convert to fraction form
    71,871.32/107,814.36 = 27,535.52/x
  3. Step 3: Cross multiply
    71,871.32x = 107,814.36 × 27,535.52
  4. Step 4: Simplify right side
    71,871.32x = 2,968,724,466.07
  5. Step 5: Solve for x
    x = 2,968,724,466.07/71,871.32
  6. Step 6: Final answer
    x = 41,306.11

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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.