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Finding the Fourth Proportional to 29,797.38, 44,702.56 and 9,022.50

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Solution

The fourth proportional to 29,797.38, 44,702.56 and 9,022.50 is: 13,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.38 : 44,702.56 = 9,022.50 : x
  2. Step 2: Convert to fraction form
    29,797.38/44,702.56 = 9,022.50/x
  3. Step 3: Cross multiply
    29,797.38x = 44,702.56 × 9,022.50
  4. Step 4: Simplify right side
    29,797.38x = 403,328,847.60
  5. Step 5: Solve for x
    x = 403,328,847.60/29,797.38
  6. Step 6: Final answer
    x = 13,535.72

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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.