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Finding the Fourth Proportional to 31,224.36, 46,836.97 and 10,164.50

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Solution

The fourth proportional to 31,224.36, 46,836.97 and 10,164.50 is: 15,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.36 : 46,836.97 = 10,164.50 : x
  2. Step 2: Convert to fraction form
    31,224.36/46,836.97 = 10,164.50/x
  3. Step 3: Cross multiply
    31,224.36x = 46,836.97 × 10,164.50
  4. Step 4: Simplify right side
    31,224.36x = 476,074,561.07
  5. Step 5: Solve for x
    x = 476,074,561.07/31,224.36
  6. Step 6: Final answer
    x = 15,246.90

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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.