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Finding the Fourth Proportional to 29,801.49, 44,702.19 and 7,614.87

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Solution

The fourth proportional to 29,801.49, 44,702.19 and 7,614.87 is: 11,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,801.49 : 44,702.19 = 7,614.87 : x
  2. Step 2: Convert to fraction form
    29,801.49/44,702.19 = 7,614.87/x
  3. Step 3: Cross multiply
    29,801.49x = 44,702.19 × 7,614.87
  4. Step 4: Simplify right side
    29,801.49x = 340,401,365.57
  5. Step 5: Solve for x
    x = 340,401,365.57/29,801.49
  6. Step 6: Final answer
    x = 11,422.29

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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.