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Finding the Fourth Proportional to 65,952.92, 98,928 and 16,033.28

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Solution

The fourth proportional to 65,952.92, 98,928 and 16,033.28 is: 24,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.92 : 98,928 = 16,033.28 : x
  2. Step 2: Convert to fraction form
    65,952.92/98,928 = 16,033.28/x
  3. Step 3: Cross multiply
    65,952.92x = 98,928 × 16,033.28
  4. Step 4: Simplify right side
    65,952.92x = 1,586,140,323.84
  5. Step 5: Solve for x
    x = 1,586,140,323.84/65,952.92
  6. Step 6: Final answer
    x = 24,049.58

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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.