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Finding the Fourth Proportional to 65,952.67, 98,928.08 and 16,032.61

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Solution

The fourth proportional to 65,952.67, 98,928.08 and 16,032.61 is: 24,048.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952.67 : 98,928.08 = 16,032.61 : x
  2. Step 2: Convert to fraction form
    65,952.67/98,928.08 = 16,032.61/x
  3. Step 3: Cross multiply
    65,952.67x = 98,928.08 × 16,032.61
  4. Step 4: Simplify right side
    65,952.67x = 1,586,074,749.89
  5. Step 5: Solve for x
    x = 1,586,074,749.89/65,952.67
  6. Step 6: Final answer
    x = 24,048.68

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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.