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Finding the Fourth Proportional to 84,224.90, 126,336.26 and 24,254.84

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Solution

The fourth proportional to 84,224.90, 126,336.26 and 24,254.84 is: 36,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,224.90 : 126,336.26 = 24,254.84 : x
  2. Step 2: Convert to fraction form
    84,224.90/126,336.26 = 24,254.84/x
  3. Step 3: Cross multiply
    84,224.90x = 126,336.26 × 24,254.84
  4. Step 4: Simplify right side
    84,224.90x = 3,064,265,772.50
  5. Step 5: Solve for x
    x = 3,064,265,772.50/84,224.90
  6. Step 6: Final answer
    x = 36,381.95

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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.