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Finding the Fourth Proportional to 65,902.26, 98,865.80 and 26,462.40

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Solution

The fourth proportional to 65,902.26, 98,865.80 and 26,462.40 is: 39,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.26 : 98,865.80 = 26,462.40 : x
  2. Step 2: Convert to fraction form
    65,902.26/98,865.80 = 26,462.40/x
  3. Step 3: Cross multiply
    65,902.26x = 98,865.80 × 26,462.40
  4. Step 4: Simplify right side
    65,902.26x = 2,616,226,345.92
  5. Step 5: Solve for x
    x = 2,616,226,345.92/65,902.26
  6. Step 6: Final answer
    x = 39,698.58

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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.