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Finding the Fourth Proportional to 31,171.28, 46,756.54 and 21,151.20

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Solution

The fourth proportional to 31,171.28, 46,756.54 and 21,151.20 is: 31,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.28 : 46,756.54 = 21,151.20 : x
  2. Step 2: Convert to fraction form
    31,171.28/46,756.54 = 21,151.20/x
  3. Step 3: Cross multiply
    31,171.28x = 46,756.54 × 21,151.20
  4. Step 4: Simplify right side
    31,171.28x = 988,956,999.12
  5. Step 5: Solve for x
    x = 988,956,999.12/31,171.28
  6. Step 6: Final answer
    x = 31,726.54

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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.