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Finding the Fourth Proportional to 30,249.74, 45,376.72 and 9,191.48

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Solution

The fourth proportional to 30,249.74, 45,376.72 and 9,191.48 is: 13,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249.74 : 45,376.72 = 9,191.48 : x
  2. Step 2: Convert to fraction form
    30,249.74/45,376.72 = 9,191.48/x
  3. Step 3: Cross multiply
    30,249.74x = 45,376.72 × 9,191.48
  4. Step 4: Simplify right side
    30,249.74x = 417,078,977.41
  5. Step 5: Solve for x
    x = 417,078,977.41/30,249.74
  6. Step 6: Final answer
    x = 13,787.85

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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.