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Finding the Fourth Proportional to 85,144.48, 127,722.48 and 32,559.52

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Solution

The fourth proportional to 85,144.48, 127,722.48 and 32,559.52 is: 48,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144.48 : 127,722.48 = 32,559.52 : x
  2. Step 2: Convert to fraction form
    85,144.48/127,722.48 = 32,559.52/x
  3. Step 3: Cross multiply
    85,144.48x = 127,722.48 × 32,559.52
  4. Step 4: Simplify right side
    85,144.48x = 4,158,582,642.01
  5. Step 5: Solve for x
    x = 4,158,582,642.01/85,144.48
  6. Step 6: Final answer
    x = 48,841.48

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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.