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Finding the Fourth Proportional to 65,534.30, 98,301.71 and 19,942.44

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Solution

The fourth proportional to 65,534.30, 98,301.71 and 19,942.44 is: 29,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,534.30 : 98,301.71 = 19,942.44 : x
  2. Step 2: Convert to fraction form
    65,534.30/98,301.71 = 19,942.44/x
  3. Step 3: Cross multiply
    65,534.30x = 98,301.71 × 19,942.44
  4. Step 4: Simplify right side
    65,534.30x = 1,960,375,853.86
  5. Step 5: Solve for x
    x = 1,960,375,853.86/65,534.30
  6. Step 6: Final answer
    x = 29,913.74

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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.