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Finding the Fourth Proportional to 92,742.94, 127,857.99 and 62,104.06

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Solution

The fourth proportional to 92,742.94, 127,857.99 and 62,104.06 is: 85,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,742.94 : 127,857.99 = 62,104.06 : x
  2. Step 2: Convert to fraction form
    92,742.94/127,857.99 = 62,104.06/x
  3. Step 3: Cross multiply
    92,742.94x = 127,857.99 × 62,104.06
  4. Step 4: Simplify right side
    92,742.94x = 7,940,500,282.44
  5. Step 5: Solve for x
    x = 7,940,500,282.44/92,742.94
  6. Step 6: Final answer
    x = 85,618.38

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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.