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Finding the Fourth Proportional to 92,020.60, 138,047.10 and 32,890.60

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Solution

The fourth proportional to 92,020.60, 138,047.10 and 32,890.60 is: 49,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,020.60 : 138,047.10 = 32,890.60 : x
  2. Step 2: Convert to fraction form
    92,020.60/138,047.10 = 32,890.60/x
  3. Step 3: Cross multiply
    92,020.60x = 138,047.10 × 32,890.60
  4. Step 4: Simplify right side
    92,020.60x = 4,540,451,947.26
  5. Step 5: Solve for x
    x = 4,540,451,947.26/92,020.60
  6. Step 6: Final answer
    x = 49,341.69

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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.