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Finding the Fourth Proportional to 29,551.70, 44,327.94 and 9,830.26

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Solution

The fourth proportional to 29,551.70, 44,327.94 and 9,830.26 is: 14,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,551.70 : 44,327.94 = 9,830.26 : x
  2. Step 2: Convert to fraction form
    29,551.70/44,327.94 = 9,830.26/x
  3. Step 3: Cross multiply
    29,551.70x = 44,327.94 × 9,830.26
  4. Step 4: Simplify right side
    29,551.70x = 435,755,175.46
  5. Step 5: Solve for x
    x = 435,755,175.46/29,551.70
  6. Step 6: Final answer
    x = 14,745.52

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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.