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Finding the Fourth Proportional to 31,603.59, 47,405.10 and 12,879.24

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Solution

The fourth proportional to 31,603.59, 47,405.10 and 12,879.24 is: 19,318.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,603.59 : 47,405.10 = 12,879.24 : x
  2. Step 2: Convert to fraction form
    31,603.59/47,405.10 = 12,879.24/x
  3. Step 3: Cross multiply
    31,603.59x = 47,405.10 × 12,879.24
  4. Step 4: Simplify right side
    31,603.59x = 610,541,660.12
  5. Step 5: Solve for x
    x = 610,541,660.12/31,603.59
  6. Step 6: Final answer
    x = 19,318.74

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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.