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Finding the Fourth Proportional to 84,077.84, 126,117.21 and 24,914.02

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Solution

The fourth proportional to 84,077.84, 126,117.21 and 24,914.02 is: 37,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,077.84 : 126,117.21 = 24,914.02 : x
  2. Step 2: Convert to fraction form
    84,077.84/126,117.21 = 24,914.02/x
  3. Step 3: Cross multiply
    84,077.84x = 126,117.21 × 24,914.02
  4. Step 4: Simplify right side
    84,077.84x = 3,142,086,692.28
  5. Step 5: Solve for x
    x = 3,142,086,692.28/84,077.84
  6. Step 6: Final answer
    x = 37,371.16

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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.