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Finding the Fourth Proportional to 31,194.75, 46,785.24 and 9,003.30

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Solution

The fourth proportional to 31,194.75, 46,785.24 and 9,003.30 is: 13,502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.75 : 46,785.24 = 9,003.30 : x
  2. Step 2: Convert to fraction form
    31,194.75/46,785.24 = 9,003.30/x
  3. Step 3: Cross multiply
    31,194.75x = 46,785.24 × 9,003.30
  4. Step 4: Simplify right side
    31,194.75x = 421,221,551.29
  5. Step 5: Solve for x
    x = 421,221,551.29/31,194.75
  6. Step 6: Final answer
    x = 13,502.96

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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.