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Finding the Fourth Proportional to 69,923.76, 96,497.72 and 38,094.41

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Solution

The fourth proportional to 69,923.76, 96,497.72 and 38,094.41 is: 52,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,923.76 : 96,497.72 = 38,094.41 : x
  2. Step 2: Convert to fraction form
    69,923.76/96,497.72 = 38,094.41/x
  3. Step 3: Cross multiply
    69,923.76x = 96,497.72 × 38,094.41
  4. Step 4: Simplify right side
    69,923.76x = 3,676,023,036.78
  5. Step 5: Solve for x
    x = 3,676,023,036.78/69,923.76
  6. Step 6: Final answer
    x = 52,571.87

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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.