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Finding the Fourth Proportional to 48,817.26, 67,368.96 and 27,597.78

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Solution

The fourth proportional to 48,817.26, 67,368.96 and 27,597.78 is: 38,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,817.26 : 67,368.96 = 27,597.78 : x
  2. Step 2: Convert to fraction form
    48,817.26/67,368.96 = 27,597.78/x
  3. Step 3: Cross multiply
    48,817.26x = 67,368.96 × 27,597.78
  4. Step 4: Simplify right side
    48,817.26x = 1,859,233,736.91
  5. Step 5: Solve for x
    x = 1,859,233,736.91/48,817.26
  6. Step 6: Final answer
    x = 38,085.58

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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.