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Finding the Fourth Proportional to 49,784.19, 68,702.15 and 27,428.19

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Solution

The fourth proportional to 49,784.19, 68,702.15 and 27,428.19 is: 37,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.19 : 68,702.15 = 27,428.19 : x
  2. Step 2: Convert to fraction form
    49,784.19/68,702.15 = 27,428.19/x
  3. Step 3: Cross multiply
    49,784.19x = 68,702.15 × 27,428.19
  4. Step 4: Simplify right side
    49,784.19x = 1,884,375,486.47
  5. Step 5: Solve for x
    x = 1,884,375,486.47/49,784.19
  6. Step 6: Final answer
    x = 37,850.88

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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.