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Finding the Fourth Proportional to 31,349.70, 47,036.79 and 13,807.23

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Solution

The fourth proportional to 31,349.70, 47,036.79 and 13,807.23 is: 20,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.70 : 47,036.79 = 13,807.23 : x
  2. Step 2: Convert to fraction form
    31,349.70/47,036.79 = 13,807.23/x
  3. Step 3: Cross multiply
    31,349.70x = 47,036.79 × 13,807.23
  4. Step 4: Simplify right side
    31,349.70x = 649,447,601.60
  5. Step 5: Solve for x
    x = 649,447,601.60/31,349.70
  6. Step 6: Final answer
    x = 20,716.23

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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.