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Finding the Fourth Proportional to 92,827.44, 128,101.92 and 50,385.96

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Solution

The fourth proportional to 92,827.44, 128,101.92 and 50,385.96 is: 69,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,827.44 : 128,101.92 = 50,385.96 : x
  2. Step 2: Convert to fraction form
    92,827.44/128,101.92 = 50,385.96/x
  3. Step 3: Cross multiply
    92,827.44x = 128,101.92 × 50,385.96
  4. Step 4: Simplify right side
    92,827.44x = 6,454,538,217.04
  5. Step 5: Solve for x
    x = 6,454,538,217.04/92,827.44
  6. Step 6: Final answer
    x = 69,532.65

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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.