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Finding the Fourth Proportional to 69,884.66, 96,441.28 and 38,053.68

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Solution

The fourth proportional to 69,884.66, 96,441.28 and 38,053.68 is: 52,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,884.66 : 96,441.28 = 38,053.68 : x
  2. Step 2: Convert to fraction form
    69,884.66/96,441.28 = 38,053.68/x
  3. Step 3: Cross multiply
    69,884.66x = 96,441.28 × 38,053.68
  4. Step 4: Simplify right side
    69,884.66x = 3,669,945,607.91
  5. Step 5: Solve for x
    x = 3,669,945,607.91/69,884.66
  6. Step 6: Final answer
    x = 52,514.32

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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.