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Finding the Fourth Proportional to 92,376.40, 127,478.64 and 49,934.56

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Solution

The fourth proportional to 92,376.40, 127,478.64 and 49,934.56 is: 68,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,376.40 : 127,478.64 = 49,934.56 : x
  2. Step 2: Convert to fraction form
    92,376.40/127,478.64 = 49,934.56/x
  3. Step 3: Cross multiply
    92,376.40x = 127,478.64 × 49,934.56
  4. Step 4: Simplify right side
    92,376.40x = 6,365,589,797.80
  5. Step 5: Solve for x
    x = 6,365,589,797.80/92,376.40
  6. Step 6: Final answer
    x = 68,909.26

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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.