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Finding the Fourth Proportional to 92,296.31, 127,368.96 and 49,854.84

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Solution

The fourth proportional to 92,296.31, 127,368.96 and 49,854.84 is: 68,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,296.31 : 127,368.96 = 49,854.84 : x
  2. Step 2: Convert to fraction form
    92,296.31/127,368.96 = 49,854.84/x
  3. Step 3: Cross multiply
    92,296.31x = 127,368.96 × 49,854.84
  4. Step 4: Simplify right side
    92,296.31x = 6,349,959,692.88
  5. Step 5: Solve for x
    x = 6,349,959,692.88/92,296.31
  6. Step 6: Final answer
    x = 68,799.71

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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.