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Finding the Fourth Proportional to 22,468.50, 33,702.75 and 6,052.50

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Solution

The fourth proportional to 22,468.50, 33,702.75 and 6,052.50 is: 9,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.50 : 33,702.75 = 6,052.50 : x
  2. Step 2: Convert to fraction form
    22,468.50/33,702.75 = 6,052.50/x
  3. Step 3: Cross multiply
    22,468.50x = 33,702.75 × 6,052.50
  4. Step 4: Simplify right side
    22,468.50x = 203,985,894.38
  5. Step 5: Solve for x
    x = 203,985,894.38/22,468.50
  6. Step 6: Final answer
    x = 9,078.75

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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.