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Finding the Fourth Proportional to 71,008.56, 106,567.84 and 26,675.60

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Solution

The fourth proportional to 71,008.56, 106,567.84 and 26,675.60 is: 40,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008.56 : 106,567.84 = 26,675.60 : x
  2. Step 2: Convert to fraction form
    71,008.56/106,567.84 = 26,675.60/x
  3. Step 3: Cross multiply
    71,008.56x = 106,567.84 × 26,675.60
  4. Step 4: Simplify right side
    71,008.56x = 2,842,761,072.70
  5. Step 5: Solve for x
    x = 2,842,761,072.70/71,008.56
  6. Step 6: Final answer
    x = 40,034.06

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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.