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Finding the Fourth Proportional to 49,224.66, 67,929.12 and 28,003.44

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Solution

The fourth proportional to 49,224.66, 67,929.12 and 28,003.44 is: 38,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,224.66 : 67,929.12 = 28,003.44 : x
  2. Step 2: Convert to fraction form
    49,224.66/67,929.12 = 28,003.44/x
  3. Step 3: Cross multiply
    49,224.66x = 67,929.12 × 28,003.44
  4. Step 4: Simplify right side
    49,224.66x = 1,902,249,036.17
  5. Step 5: Solve for x
    x = 1,902,249,036.17/49,224.66
  6. Step 6: Final answer
    x = 38,644.23

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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.