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Finding the Fourth Proportional to 65,876.16, 98,789.04 and 32,584.80

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Solution

The fourth proportional to 65,876.16, 98,789.04 and 32,584.80 is: 48,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,876.16 : 98,789.04 = 32,584.80 : x
  2. Step 2: Convert to fraction form
    65,876.16/98,789.04 = 32,584.80/x
  3. Step 3: Cross multiply
    65,876.16x = 98,789.04 × 32,584.80
  4. Step 4: Simplify right side
    65,876.16x = 3,219,021,110.59
  5. Step 5: Solve for x
    x = 3,219,021,110.59/65,876.16
  6. Step 6: Final answer
    x = 48,864.74

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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.