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Finding the Fourth Proportional to 65,419.34, 98,145.36 and 25,963.40

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Solution

The fourth proportional to 65,419.34, 98,145.36 and 25,963.40 is: 38,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.34 : 98,145.36 = 25,963.40 : x
  2. Step 2: Convert to fraction form
    65,419.34/98,145.36 = 25,963.40/x
  3. Step 3: Cross multiply
    65,419.34x = 98,145.36 × 25,963.40
  4. Step 4: Simplify right side
    65,419.34x = 2,548,187,239.82
  5. Step 5: Solve for x
    x = 2,548,187,239.82/65,419.34
  6. Step 6: Final answer
    x = 38,951.59

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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.