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Finding the Fourth Proportional to 69,934.69, 96,508.64 and 38,103.81

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Solution

The fourth proportional to 69,934.69, 96,508.64 and 38,103.81 is: 52,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,934.69 : 96,508.64 = 38,103.81 : x
  2. Step 2: Convert to fraction form
    69,934.69/96,508.64 = 38,103.81/x
  3. Step 3: Cross multiply
    69,934.69x = 96,508.64 × 38,103.81
  4. Step 4: Simplify right side
    69,934.69x = 3,677,346,881.92
  5. Step 5: Solve for x
    x = 3,677,346,881.92/69,934.69
  6. Step 6: Final answer
    x = 52,582.59

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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.