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Finding the Fourth Proportional to 31,653.36, 47,486.85 and 9,468.54

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Solution

The fourth proportional to 31,653.36, 47,486.85 and 9,468.54 is: 14,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.36 : 47,486.85 = 9,468.54 : x
  2. Step 2: Convert to fraction form
    31,653.36/47,486.85 = 9,468.54/x
  3. Step 3: Cross multiply
    31,653.36x = 47,486.85 × 9,468.54
  4. Step 4: Simplify right side
    31,653.36x = 449,631,138.70
  5. Step 5: Solve for x
    x = 449,631,138.70/31,653.36
  6. Step 6: Final answer
    x = 14,204.85

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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.