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Finding the Fourth Proportional to 69,838.49, 96,377.70 and 38,007.32

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Solution

The fourth proportional to 69,838.49, 96,377.70 and 38,007.32 is: 52,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,838.49 : 96,377.70 = 38,007.32 : x
  2. Step 2: Convert to fraction form
    69,838.49/96,377.70 = 38,007.32/x
  3. Step 3: Cross multiply
    69,838.49x = 96,377.70 × 38,007.32
  4. Step 4: Simplify right side
    69,838.49x = 3,663,057,602.88
  5. Step 5: Solve for x
    x = 3,663,057,602.88/69,838.49
  6. Step 6: Final answer
    x = 52,450.42

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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.