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Finding the Fourth Proportional to 31,395.54, 47,086.01 and 11,683.38

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Solution

The fourth proportional to 31,395.54, 47,086.01 and 11,683.38 is: 17,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,395.54 : 47,086.01 = 11,683.38 : x
  2. Step 2: Convert to fraction form
    31,395.54/47,086.01 = 11,683.38/x
  3. Step 3: Cross multiply
    31,395.54x = 47,086.01 × 11,683.38
  4. Step 4: Simplify right side
    31,395.54x = 550,123,747.51
  5. Step 5: Solve for x
    x = 550,123,747.51/31,395.54
  6. Step 6: Final answer
    x = 17,522.35

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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.