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Finding the Fourth Proportional to 65,693.38, 90,656.85 and 35,478.71

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Solution

The fourth proportional to 65,693.38, 90,656.85 and 35,478.71 is: 48,960.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,693.38 : 90,656.85 = 35,478.71 : x
  2. Step 2: Convert to fraction form
    65,693.38/90,656.85 = 35,478.71/x
  3. Step 3: Cross multiply
    65,693.38x = 90,656.85 × 35,478.71
  4. Step 4: Simplify right side
    65,693.38x = 3,216,388,250.78
  5. Step 5: Solve for x
    x = 3,216,388,250.78/65,693.38
  6. Step 6: Final answer
    x = 48,960.61

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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.