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Finding the Fourth Proportional to 71,857.96, 107,749.98 and 38,606.04

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Solution

The fourth proportional to 71,857.96, 107,749.98 and 38,606.04 is: 57,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,857.96 : 107,749.98 = 38,606.04 : x
  2. Step 2: Convert to fraction form
    71,857.96/107,749.98 = 38,606.04/x
  3. Step 3: Cross multiply
    71,857.96x = 107,749.98 × 38,606.04
  4. Step 4: Simplify right side
    71,857.96x = 4,159,800,037.88
  5. Step 5: Solve for x
    x = 4,159,800,037.88/71,857.96
  6. Step 6: Final answer
    x = 57,889.20

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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.