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Finding the Fourth Proportional to 29,551.57, 44,327.35 and 9,830.09

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Solution

The fourth proportional to 29,551.57, 44,327.35 and 9,830.09 is: 14,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,551.57 : 44,327.35 = 9,830.09 : x
  2. Step 2: Convert to fraction form
    29,551.57/44,327.35 = 9,830.09/x
  3. Step 3: Cross multiply
    29,551.57x = 44,327.35 × 9,830.09
  4. Step 4: Simplify right side
    29,551.57x = 435,741,963.07
  5. Step 5: Solve for x
    x = 435,741,963.07/29,551.57
  6. Step 6: Final answer
    x = 14,745.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.