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Finding the Fourth Proportional to 29,233, 43,827.60 and 9,499.78

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Solution

The fourth proportional to 29,233, 43,827.60 and 9,499.78 is: 14,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233 : 43,827.60 = 9,499.78 : x
  2. Step 2: Convert to fraction form
    29,233/43,827.60 = 9,499.78/x
  3. Step 3: Cross multiply
    29,233x = 43,827.60 × 9,499.78
  4. Step 4: Simplify right side
    29,233x = 416,352,557.93
  5. Step 5: Solve for x
    x = 416,352,557.93/29,233
  6. Step 6: Final answer
    x = 14,242.55

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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.