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Finding the Fourth Proportional to 65,581.76, 98,169.00 and 35,521.33

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Solution

The fourth proportional to 65,581.76, 98,169.00 and 35,521.33 is: 53,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,581.76 : 98,169.00 = 35,521.33 : x
  2. Step 2: Convert to fraction form
    65,581.76/98,169.00 = 35,521.33/x
  3. Step 3: Cross multiply
    65,581.76x = 98,169.00 × 35,521.33
  4. Step 4: Simplify right side
    65,581.76x = 3,487,093,267.16
  5. Step 5: Solve for x
    x = 3,487,093,267.16/65,581.76
  6. Step 6: Final answer
    x = 53,171.70

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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.