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Finding the Fourth Proportional to 33,702.76, 50,505.97 and 24,747.83

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Solution

The fourth proportional to 33,702.76, 50,505.97 and 24,747.83 is: 37,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702.76 : 50,505.97 = 24,747.83 : x
  2. Step 2: Convert to fraction form
    33,702.76/50,505.97 = 24,747.83/x
  3. Step 3: Cross multiply
    33,702.76x = 50,505.97 × 24,747.83
  4. Step 4: Simplify right side
    33,702.76x = 1,249,913,159.55
  5. Step 5: Solve for x
    x = 1,249,913,159.55/33,702.76
  6. Step 6: Final answer
    x = 37,086.37

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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.