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Finding the Fourth Proportional to 71,427.90, 107,156.84 and 27,053.67

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Solution

The fourth proportional to 71,427.90, 107,156.84 and 27,053.67 is: 40,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,427.90 : 107,156.84 = 27,053.67 : x
  2. Step 2: Convert to fraction form
    71,427.90/107,156.84 = 27,053.67/x
  3. Step 3: Cross multiply
    71,427.90x = 107,156.84 × 27,053.67
  4. Step 4: Simplify right side
    71,427.90x = 2,898,985,652.33
  5. Step 5: Solve for x
    x = 2,898,985,652.33/71,427.90
  6. Step 6: Final answer
    x = 40,586.18

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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.