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Finding the Fourth Proportional to 52,561.44, 78,851.07 and 22,978.62

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Solution

The fourth proportional to 52,561.44, 78,851.07 and 22,978.62 is: 34,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,561.44 : 78,851.07 = 22,978.62 : x
  2. Step 2: Convert to fraction form
    52,561.44/78,851.07 = 22,978.62/x
  3. Step 3: Cross multiply
    52,561.44x = 78,851.07 × 22,978.62
  4. Step 4: Simplify right side
    52,561.44x = 1,811,888,774.12
  5. Step 5: Solve for x
    x = 1,811,888,774.12/52,561.44
  6. Step 6: Final answer
    x = 34,471.83

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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.