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Finding the Fourth Proportional to 69,934.66, 96,509.82 and 38,103.82

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Solution

The fourth proportional to 69,934.66, 96,509.82 and 38,103.82 is: 52,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,934.66 : 96,509.82 = 38,103.82 : x
  2. Step 2: Convert to fraction form
    69,934.66/96,509.82 = 38,103.82/x
  3. Step 3: Cross multiply
    69,934.66x = 96,509.82 × 38,103.82
  4. Step 4: Simplify right side
    69,934.66x = 3,677,392,809.51
  5. Step 5: Solve for x
    x = 3,677,392,809.51/69,934.66
  6. Step 6: Final answer
    x = 52,583.27

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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.