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Finding the Fourth Proportional to 92,081.52, 138,102 and 32,921.28

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Solution

The fourth proportional to 92,081.52, 138,102 and 32,921.28 is: 49,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,081.52 : 138,102 = 32,921.28 : x
  2. Step 2: Convert to fraction form
    92,081.52/138,102 = 32,921.28/x
  3. Step 3: Cross multiply
    92,081.52x = 138,102 × 32,921.28
  4. Step 4: Simplify right side
    92,081.52x = 4,546,494,610.56
  5. Step 5: Solve for x
    x = 4,546,494,610.56/92,081.52
  6. Step 6: Final answer
    x = 49,374.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.