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Finding the Fourth Proportional to 31,097.70, 46,632.51 and 8,906.00

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Solution

The fourth proportional to 31,097.70, 46,632.51 and 8,906.00 is: 13,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.70 : 46,632.51 = 8,906.00 : x
  2. Step 2: Convert to fraction form
    31,097.70/46,632.51 = 8,906.00/x
  3. Step 3: Cross multiply
    31,097.70x = 46,632.51 × 8,906.00
  4. Step 4: Simplify right side
    31,097.70x = 415,308,900.90
  5. Step 5: Solve for x
    x = 415,308,900.90/31,097.70
  6. Step 6: Final answer
    x = 13,354.97

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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.