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Finding the Fourth Proportional to 65,678.99, 90,601.97 and 40,197.70

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Solution

The fourth proportional to 65,678.99, 90,601.97 and 40,197.70 is: 55,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.99 : 90,601.97 = 40,197.70 : x
  2. Step 2: Convert to fraction form
    65,678.99/90,601.97 = 40,197.70/x
  3. Step 3: Cross multiply
    65,678.99x = 90,601.97 × 40,197.70
  4. Step 4: Simplify right side
    65,678.99x = 3,641,990,155.47
  5. Step 5: Solve for x
    x = 3,641,990,155.47/65,678.99
  6. Step 6: Final answer
    x = 55,451.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.