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Finding the Fourth Proportional to 65,819.54, 98,524.56 and 35,758.61

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Solution

The fourth proportional to 65,819.54, 98,524.56 and 35,758.61 is: 53,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,819.54 : 98,524.56 = 35,758.61 : x
  2. Step 2: Convert to fraction form
    65,819.54/98,524.56 = 35,758.61/x
  3. Step 3: Cross multiply
    65,819.54x = 98,524.56 × 35,758.61
  4. Step 4: Simplify right side
    65,819.54x = 3,523,101,316.46
  5. Step 5: Solve for x
    x = 3,523,101,316.46/65,819.54
  6. Step 6: Final answer
    x = 53,526.68

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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.