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Finding the Fourth Proportional to 84,751.75, 127,078.40 and 32,132.53

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Solution

The fourth proportional to 84,751.75, 127,078.40 and 32,132.53 is: 48,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.75 : 127,078.40 = 32,132.53 : x
  2. Step 2: Convert to fraction form
    84,751.75/127,078.40 = 32,132.53/x
  3. Step 3: Cross multiply
    84,751.75x = 127,078.40 × 32,132.53
  4. Step 4: Simplify right side
    84,751.75x = 4,083,350,739.53
  5. Step 5: Solve for x
    x = 4,083,350,739.53/84,751.75
  6. Step 6: Final answer
    x = 48,180.13

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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.