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Finding the Fourth Proportional to 92,206.28, 127,242.96 and 51,919.88

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Solution

The fourth proportional to 92,206.28, 127,242.96 and 51,919.88 is: 71,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,206.28 : 127,242.96 = 51,919.88 : x
  2. Step 2: Convert to fraction form
    92,206.28/127,242.96 = 51,919.88/x
  3. Step 3: Cross multiply
    92,206.28x = 127,242.96 × 51,919.88
  4. Step 4: Simplify right side
    92,206.28x = 6,606,439,214.04
  5. Step 5: Solve for x
    x = 6,606,439,214.04/92,206.28
  6. Step 6: Final answer
    x = 71,648.47

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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.