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Finding the Fourth Proportional to 22,062.50, 33,093.76 and 5,646.50

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Solution

The fourth proportional to 22,062.50, 33,093.76 and 5,646.50 is: 8,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,062.50 : 33,093.76 = 5,646.50 : x
  2. Step 2: Convert to fraction form
    22,062.50/33,093.76 = 5,646.50/x
  3. Step 3: Cross multiply
    22,062.50x = 33,093.76 × 5,646.50
  4. Step 4: Simplify right side
    22,062.50x = 186,863,915.84
  5. Step 5: Solve for x
    x = 186,863,915.84/22,062.50
  6. Step 6: Final answer
    x = 8,469.75

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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.