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Finding the Fourth Proportional to 29,065.12, 43,598.24 and 8,289.12

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Solution

The fourth proportional to 29,065.12, 43,598.24 and 8,289.12 is: 12,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065.12 : 43,598.24 = 8,289.12 : x
  2. Step 2: Convert to fraction form
    29,065.12/43,598.24 = 8,289.12/x
  3. Step 3: Cross multiply
    29,065.12x = 43,598.24 × 8,289.12
  4. Step 4: Simplify right side
    29,065.12x = 361,391,043.15
  5. Step 5: Solve for x
    x = 361,391,043.15/29,065.12
  6. Step 6: Final answer
    x = 12,433.84

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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.