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Finding the Fourth Proportional to 69,873.57, 96,422.94 and 38,041.83

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Solution

The fourth proportional to 69,873.57, 96,422.94 and 38,041.83 is: 52,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,873.57 : 96,422.94 = 38,041.83 : x
  2. Step 2: Convert to fraction form
    69,873.57/96,422.94 = 38,041.83/x
  3. Step 3: Cross multiply
    69,873.57x = 96,422.94 × 38,041.83
  4. Step 4: Simplify right side
    69,873.57x = 3,668,105,091.58
  5. Step 5: Solve for x
    x = 3,668,105,091.58/69,873.57
  6. Step 6: Final answer
    x = 52,496.32

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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.