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Finding the Fourth Proportional to 84,471.30, 126,735.12 and 28,317

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Solution

The fourth proportional to 84,471.30, 126,735.12 and 28,317 is: 42,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.30 : 126,735.12 = 28,317 : x
  2. Step 2: Convert to fraction form
    84,471.30/126,735.12 = 28,317/x
  3. Step 3: Cross multiply
    84,471.30x = 126,735.12 × 28,317
  4. Step 4: Simplify right side
    84,471.30x = 3,588,758,393.04
  5. Step 5: Solve for x
    x = 3,588,758,393.04/84,471.30
  6. Step 6: Final answer
    x = 42,484.94

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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.