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Finding the Fourth Proportional to 65,494.36, 98,242.62 and 23,941

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Solution

The fourth proportional to 65,494.36, 98,242.62 and 23,941 is: 35,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,494.36 : 98,242.62 = 23,941 : x
  2. Step 2: Convert to fraction form
    65,494.36/98,242.62 = 23,941/x
  3. Step 3: Cross multiply
    65,494.36x = 98,242.62 × 23,941
  4. Step 4: Simplify right side
    65,494.36x = 2,352,026,565.42
  5. Step 5: Solve for x
    x = 2,352,026,565.42/65,494.36
  6. Step 6: Final answer
    x = 35,911.89

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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.