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Finding the Fourth Proportional to 90,228.29, 124,511.86 and 49,942.13

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Solution

The fourth proportional to 90,228.29, 124,511.86 and 49,942.13 is: 68,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,228.29 : 124,511.86 = 49,942.13 : x
  2. Step 2: Convert to fraction form
    90,228.29/124,511.86 = 49,942.13/x
  3. Step 3: Cross multiply
    90,228.29x = 124,511.86 × 49,942.13
  4. Step 4: Simplify right side
    90,228.29x = 6,218,387,498.66
  5. Step 5: Solve for x
    x = 6,218,387,498.66/90,228.29
  6. Step 6: Final answer
    x = 68,918.38

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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.