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Finding the Fourth Proportional to 48,920.26, 67,510 and 27,699.56

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Solution

The fourth proportional to 48,920.26, 67,510 and 27,699.56 is: 38,225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920.26 : 67,510 = 27,699.56 : x
  2. Step 2: Convert to fraction form
    48,920.26/67,510 = 27,699.56/x
  3. Step 3: Cross multiply
    48,920.26x = 67,510 × 27,699.56
  4. Step 4: Simplify right side
    48,920.26x = 1,869,997,295.60
  5. Step 5: Solve for x
    x = 1,869,997,295.60/48,920.26
  6. Step 6: Final answer
    x = 38,225.42

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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.