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Finding the Fourth Proportional to 31,546.15, 47,318.99 and 9,357.68

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Solution

The fourth proportional to 31,546.15, 47,318.99 and 9,357.68 is: 14,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.15 : 47,318.99 = 9,357.68 : x
  2. Step 2: Convert to fraction form
    31,546.15/47,318.99 = 9,357.68/x
  3. Step 3: Cross multiply
    31,546.15x = 47,318.99 × 9,357.68
  4. Step 4: Simplify right side
    31,546.15x = 442,796,037.85
  5. Step 5: Solve for x
    x = 442,796,037.85/31,546.15
  6. Step 6: Final answer
    x = 14,036.45

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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.