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Finding the Fourth Proportional to 30,448.61, 45,671.09 and 8,261.49

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Solution

The fourth proportional to 30,448.61, 45,671.09 and 8,261.49 is: 12,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.61 : 45,671.09 = 8,261.49 : x
  2. Step 2: Convert to fraction form
    30,448.61/45,671.09 = 8,261.49/x
  3. Step 3: Cross multiply
    30,448.61x = 45,671.09 × 8,261.49
  4. Step 4: Simplify right side
    30,448.61x = 377,311,429.75
  5. Step 5: Solve for x
    x = 377,311,429.75/30,448.61
  6. Step 6: Final answer
    x = 12,391.75

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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.