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Finding the Fourth Proportional to 69,837.66, 96,375.69 and 38,006.55

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Solution

The fourth proportional to 69,837.66, 96,375.69 and 38,006.55 is: 52,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,837.66 : 96,375.69 = 38,006.55 : x
  2. Step 2: Convert to fraction form
    69,837.66/96,375.69 = 38,006.55/x
  3. Step 3: Cross multiply
    69,837.66x = 96,375.69 × 38,006.55
  4. Step 4: Simplify right side
    69,837.66x = 3,662,907,480.77
  5. Step 5: Solve for x
    x = 3,662,907,480.77/69,837.66
  6. Step 6: Final answer
    x = 52,448.89

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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.