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Finding the Fourth Proportional to 71,406.83, 107,125.27 and 27,032.60

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Solution

The fourth proportional to 71,406.83, 107,125.27 and 27,032.60 is: 40,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406.83 : 107,125.27 = 27,032.60 : x
  2. Step 2: Convert to fraction form
    71,406.83/107,125.27 = 27,032.60/x
  3. Step 3: Cross multiply
    71,406.83x = 107,125.27 × 27,032.60
  4. Step 4: Simplify right side
    71,406.83x = 2,895,874,774.03
  5. Step 5: Solve for x
    x = 2,895,874,774.03/71,406.83
  6. Step 6: Final answer
    x = 40,554.59

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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.