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Finding the Fourth Proportional to 92,633.80, 127,836.10 and 54,394.20

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Solution

The fourth proportional to 92,633.80, 127,836.10 and 54,394.20 is: 75,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,633.80 : 127,836.10 = 54,394.20 : x
  2. Step 2: Convert to fraction form
    92,633.80/127,836.10 = 54,394.20/x
  3. Step 3: Cross multiply
    92,633.80x = 127,836.10 × 54,394.20
  4. Step 4: Simplify right side
    92,633.80x = 6,953,541,766.32
  5. Step 5: Solve for x
    x = 6,953,541,766.32/92,633.80
  6. Step 6: Final answer
    x = 75,064.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.