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Finding the Fourth Proportional to 30,226.86, 45,340.70 and 10,505.79

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Solution

The fourth proportional to 30,226.86, 45,340.70 and 10,505.79 is: 15,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226.86 : 45,340.70 = 10,505.79 : x
  2. Step 2: Convert to fraction form
    30,226.86/45,340.70 = 10,505.79/x
  3. Step 3: Cross multiply
    30,226.86x = 45,340.70 × 10,505.79
  4. Step 4: Simplify right side
    30,226.86x = 476,339,820.12
  5. Step 5: Solve for x
    x = 476,339,820.12/30,226.86
  6. Step 6: Final answer
    x = 15,758.83

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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.