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Finding the Fourth Proportional to 92,642.60, 138,965.42 and 26,084.33

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Solution

The fourth proportional to 92,642.60, 138,965.42 and 26,084.33 is: 39,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642.60 : 138,965.42 = 26,084.33 : x
  2. Step 2: Convert to fraction form
    92,642.60/138,965.42 = 26,084.33/x
  3. Step 3: Cross multiply
    92,642.60x = 138,965.42 × 26,084.33
  4. Step 4: Simplify right side
    92,642.60x = 3,624,819,765.37
  5. Step 5: Solve for x
    x = 3,624,819,765.37/92,642.60
  6. Step 6: Final answer
    x = 39,126.92

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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.