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Finding the Fourth Proportional to 31,097.34, 46,645.85 and 8,910.69

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Solution

The fourth proportional to 31,097.34, 46,645.85 and 8,910.69 is: 13,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,097.34 : 46,645.85 = 8,910.69 : x
  2. Step 2: Convert to fraction form
    31,097.34/46,645.85 = 8,910.69/x
  3. Step 3: Cross multiply
    31,097.34x = 46,645.85 × 8,910.69
  4. Step 4: Simplify right side
    31,097.34x = 415,646,664.58
  5. Step 5: Solve for x
    x = 415,646,664.58/31,097.34
  6. Step 6: Final answer
    x = 13,365.99

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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.