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Finding the Fourth Proportional to 29,290.56, 43,942.80 and 9,569.10

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Solution

The fourth proportional to 29,290.56, 43,942.80 and 9,569.10 is: 14,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290.56 : 43,942.80 = 9,569.10 : x
  2. Step 2: Convert to fraction form
    29,290.56/43,942.80 = 9,569.10/x
  3. Step 3: Cross multiply
    29,290.56x = 43,942.80 × 9,569.10
  4. Step 4: Simplify right side
    29,290.56x = 420,493,047.48
  5. Step 5: Solve for x
    x = 420,493,047.48/29,290.56
  6. Step 6: Final answer
    x = 14,355.92

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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.