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Finding the Fourth Proportional to 84,135.92, 126,205.70 and 24,975.74

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Solution

The fourth proportional to 84,135.92, 126,205.70 and 24,975.74 is: 37,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,135.92 : 126,205.70 = 24,975.74 : x
  2. Step 2: Convert to fraction form
    84,135.92/126,205.70 = 24,975.74/x
  3. Step 3: Cross multiply
    84,135.92x = 126,205.70 × 24,975.74
  4. Step 4: Simplify right side
    84,135.92x = 3,152,080,940.35
  5. Step 5: Solve for x
    x = 3,152,080,940.35/84,135.92
  6. Step 6: Final answer
    x = 37,464.15

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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.