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Finding the Fourth Proportional to 31,286.39, 46,929.09 and 7,594.13

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Solution

The fourth proportional to 31,286.39, 46,929.09 and 7,594.13 is: 11,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.39 : 46,929.09 = 7,594.13 : x
  2. Step 2: Convert to fraction form
    31,286.39/46,929.09 = 7,594.13/x
  3. Step 3: Cross multiply
    31,286.39x = 46,929.09 × 7,594.13
  4. Step 4: Simplify right side
    31,286.39x = 356,385,699.09
  5. Step 5: Solve for x
    x = 356,385,699.09/31,286.39
  6. Step 6: Final answer
    x = 11,391.08

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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.