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Finding the Fourth Proportional to 92,141.85, 138,212.70 and 25,581.96

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Solution

The fourth proportional to 92,141.85, 138,212.70 and 25,581.96 is: 38,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,141.85 : 138,212.70 = 25,581.96 : x
  2. Step 2: Convert to fraction form
    92,141.85/138,212.70 = 25,581.96/x
  3. Step 3: Cross multiply
    92,141.85x = 138,212.70 × 25,581.96
  4. Step 4: Simplify right side
    92,141.85x = 3,535,751,762.89
  5. Step 5: Solve for x
    x = 3,535,751,762.89/92,141.85
  6. Step 6: Final answer
    x = 38,372.92

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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.