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Finding the Fourth Proportional to 25,731, 38,315.34 and 24,785.19

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Solution

The fourth proportional to 25,731, 38,315.34 and 24,785.19 is: 36,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731 : 38,315.34 = 24,785.19 : x
  2. Step 2: Convert to fraction form
    25,731/38,315.34 = 24,785.19/x
  3. Step 3: Cross multiply
    25,731x = 38,315.34 × 24,785.19
  4. Step 4: Simplify right side
    25,731x = 949,652,981.81
  5. Step 5: Solve for x
    x = 949,652,981.81/25,731
  6. Step 6: Final answer
    x = 36,906.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.