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Finding the Fourth Proportional to 69,197.54, 103,767.21 and 24,209.28

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Solution

The fourth proportional to 69,197.54, 103,767.21 and 24,209.28 is: 36,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197.54 : 103,767.21 = 24,209.28 : x
  2. Step 2: Convert to fraction form
    69,197.54/103,767.21 = 24,209.28/x
  3. Step 3: Cross multiply
    69,197.54x = 103,767.21 × 24,209.28
  4. Step 4: Simplify right side
    69,197.54x = 2,512,129,441.71
  5. Step 5: Solve for x
    x = 2,512,129,441.71/69,197.54
  6. Step 6: Final answer
    x = 36,303.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.