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Finding the Fourth Proportional to 69,913.62, 96,477.84 and 38,082.78

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Solution

The fourth proportional to 69,913.62, 96,477.84 and 38,082.78 is: 52,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,913.62 : 96,477.84 = 38,082.78 : x
  2. Step 2: Convert to fraction form
    69,913.62/96,477.84 = 38,082.78/x
  3. Step 3: Cross multiply
    69,913.62x = 96,477.84 × 38,082.78
  4. Step 4: Simplify right side
    69,913.62x = 3,674,144,355.60
  5. Step 5: Solve for x
    x = 3,674,144,355.60/69,913.62
  6. Step 6: Final answer
    x = 52,552.63

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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.