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Finding the Fourth Proportional to 65,647.44, 98,237.88 and 48,073.68

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Solution

The fourth proportional to 65,647.44, 98,237.88 and 48,073.68 is: 71,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.44 : 98,237.88 = 48,073.68 : x
  2. Step 2: Convert to fraction form
    65,647.44/98,237.88 = 48,073.68/x
  3. Step 3: Cross multiply
    65,647.44x = 98,237.88 × 48,073.68
  4. Step 4: Simplify right side
    65,647.44x = 4,722,656,407.00
  5. Step 5: Solve for x
    x = 4,722,656,407.00/65,647.44
  6. Step 6: Final answer
    x = 71,939.69

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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.