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Finding the Fourth Proportional to 65,521.74, 98,257.73 and 23,393.97

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Solution

The fourth proportional to 65,521.74, 98,257.73 and 23,393.97 is: 35,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,521.74 : 98,257.73 = 23,393.97 : x
  2. Step 2: Convert to fraction form
    65,521.74/98,257.73 = 23,393.97/x
  3. Step 3: Cross multiply
    65,521.74x = 98,257.73 × 23,393.97
  4. Step 4: Simplify right side
    65,521.74x = 2,298,638,270.92
  5. Step 5: Solve for x
    x = 2,298,638,270.92/65,521.74
  6. Step 6: Final answer
    x = 35,082.07

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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.