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Finding the Fourth Proportional to 49,793.84, 74,702.36 and 22,094

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Solution

The fourth proportional to 49,793.84, 74,702.36 and 22,094 is: 33,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.84 : 74,702.36 = 22,094 : x
  2. Step 2: Convert to fraction form
    49,793.84/74,702.36 = 22,094/x
  3. Step 3: Cross multiply
    49,793.84x = 74,702.36 × 22,094
  4. Step 4: Simplify right side
    49,793.84x = 1,650,473,941.84
  5. Step 5: Solve for x
    x = 1,650,473,941.84/49,793.84
  6. Step 6: Final answer
    x = 33,146.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.