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Finding the Fourth Proportional to 65,456.16, 98,155.08 and 23,874

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Solution

The fourth proportional to 65,456.16, 98,155.08 and 23,874 is: 35,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,456.16 : 98,155.08 = 23,874 : x
  2. Step 2: Convert to fraction form
    65,456.16/98,155.08 = 23,874/x
  3. Step 3: Cross multiply
    65,456.16x = 98,155.08 × 23,874
  4. Step 4: Simplify right side
    65,456.16x = 2,343,354,379.92
  5. Step 5: Solve for x
    x = 2,343,354,379.92/65,456.16
  6. Step 6: Final answer
    x = 35,800.36

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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.