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Finding the Fourth Proportional to 69,616.96, 96,071.49 and 37,785.87

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Solution

The fourth proportional to 69,616.96, 96,071.49 and 37,785.87 is: 52,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616.96 : 96,071.49 = 37,785.87 : x
  2. Step 2: Convert to fraction form
    69,616.96/96,071.49 = 37,785.87/x
  3. Step 3: Cross multiply
    69,616.96x = 96,071.49 × 37,785.87
  4. Step 4: Simplify right side
    69,616.96x = 3,630,144,831.85
  5. Step 5: Solve for x
    x = 3,630,144,831.85/69,616.96
  6. Step 6: Final answer
    x = 52,144.55

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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.