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Finding the Fourth Proportional to 85,231.89, 127,866.27 and 32,641.38

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Solution

The fourth proportional to 85,231.89, 127,866.27 and 32,641.38 is: 48,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,231.89 : 127,866.27 = 32,641.38 : x
  2. Step 2: Convert to fraction form
    85,231.89/127,866.27 = 32,641.38/x
  3. Step 3: Cross multiply
    85,231.89x = 127,866.27 × 32,641.38
  4. Step 4: Simplify right side
    85,231.89x = 4,173,731,508.25
  5. Step 5: Solve for x
    x = 4,173,731,508.25/85,231.89
  6. Step 6: Final answer
    x = 48,969.13

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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.