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Finding the Fourth Proportional to 67,452.34, 93,069.78 and 39,142.84

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Solution

The fourth proportional to 67,452.34, 93,069.78 and 39,142.84 is: 54,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,452.34 : 93,069.78 = 39,142.84 : x
  2. Step 2: Convert to fraction form
    67,452.34/93,069.78 = 39,142.84/x
  3. Step 3: Cross multiply
    67,452.34x = 93,069.78 × 39,142.84
  4. Step 4: Simplify right side
    67,452.34x = 3,643,015,507.38
  5. Step 5: Solve for x
    x = 3,643,015,507.38/67,452.34
  6. Step 6: Final answer
    x = 54,008.73

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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.