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Finding the Fourth Proportional to 84,125.68, 126,214.80 and 24,961.64

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Solution

The fourth proportional to 84,125.68, 126,214.80 and 24,961.64 is: 37,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,125.68 : 126,214.80 = 24,961.64 : x
  2. Step 2: Convert to fraction form
    84,125.68/126,214.80 = 24,961.64/x
  3. Step 3: Cross multiply
    84,125.68x = 126,214.80 × 24,961.64
  4. Step 4: Simplify right side
    84,125.68x = 3,150,528,400.27
  5. Step 5: Solve for x
    x = 3,150,528,400.27/84,125.68
  6. Step 6: Final answer
    x = 37,450.26

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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.