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Finding the Fourth Proportional to 69,742.64, 96,244.76 and 37,911.78

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Solution

The fourth proportional to 69,742.64, 96,244.76 and 37,911.78 is: 52,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,742.64 : 96,244.76 = 37,911.78 : x
  2. Step 2: Convert to fraction form
    69,742.64/96,244.76 = 37,911.78/x
  3. Step 3: Cross multiply
    69,742.64x = 96,244.76 × 37,911.78
  4. Step 4: Simplify right side
    69,742.64x = 3,648,810,262.05
  5. Step 5: Solve for x
    x = 3,648,810,262.05/69,742.64
  6. Step 6: Final answer
    x = 52,318.21

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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.