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Finding the Fourth Proportional to 65,901.92, 98,865.30 and 26,462.12

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Solution

The fourth proportional to 65,901.92, 98,865.30 and 26,462.12 is: 39,698.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,901.92 : 98,865.30 = 26,462.12 : x
  2. Step 2: Convert to fraction form
    65,901.92/98,865.30 = 26,462.12/x
  3. Step 3: Cross multiply
    65,901.92x = 98,865.30 × 26,462.12
  4. Step 4: Simplify right side
    65,901.92x = 2,616,185,432.44
  5. Step 5: Solve for x
    x = 2,616,185,432.44/65,901.92
  6. Step 6: Final answer
    x = 39,698.17

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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.