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Finding the Fourth Proportional to 31,726.38, 47,538.51 and 20,660.16

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Solution

The fourth proportional to 31,726.38, 47,538.51 and 20,660.16 is: 30,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.38 : 47,538.51 = 20,660.16 : x
  2. Step 2: Convert to fraction form
    31,726.38/47,538.51 = 20,660.16/x
  3. Step 3: Cross multiply
    31,726.38x = 47,538.51 × 20,660.16
  4. Step 4: Simplify right side
    31,726.38x = 982,153,222.76
  5. Step 5: Solve for x
    x = 982,153,222.76/31,726.38
  6. Step 6: Final answer
    x = 30,956.99

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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.