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Finding the Fourth Proportional to 69,841.86, 96,382.06 and 38,011.06

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Solution

The fourth proportional to 69,841.86, 96,382.06 and 38,011.06 is: 52,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,841.86 : 96,382.06 = 38,011.06 : x
  2. Step 2: Convert to fraction form
    69,841.86/96,382.06 = 38,011.06/x
  3. Step 3: Cross multiply
    69,841.86x = 96,382.06 × 38,011.06
  4. Step 4: Simplify right side
    69,841.86x = 3,663,584,265.58
  5. Step 5: Solve for x
    x = 3,663,584,265.58/69,841.86
  6. Step 6: Final answer
    x = 52,455.42

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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.