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Finding the Fourth Proportional to 31,326, 46,979.74 and 9,133.41

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Solution

The fourth proportional to 31,326, 46,979.74 and 9,133.41 is: 13,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,326 : 46,979.74 = 9,133.41 : x
  2. Step 2: Convert to fraction form
    31,326/46,979.74 = 9,133.41/x
  3. Step 3: Cross multiply
    31,326x = 46,979.74 × 9,133.41
  4. Step 4: Simplify right side
    31,326x = 429,085,227.11
  5. Step 5: Solve for x
    x = 429,085,227.11/31,326
  6. Step 6: Final answer
    x = 13,697.42

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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.