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Finding the Fourth Proportional to 31,785.50, 43,863.99 and 20,607.50

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Solution

The fourth proportional to 31,785.50, 43,863.99 and 20,607.50 is: 28,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.50 : 43,863.99 = 20,607.50 : x
  2. Step 2: Convert to fraction form
    31,785.50/43,863.99 = 20,607.50/x
  3. Step 3: Cross multiply
    31,785.50x = 43,863.99 × 20,607.50
  4. Step 4: Simplify right side
    31,785.50x = 903,927,173.93
  5. Step 5: Solve for x
    x = 903,927,173.93/31,785.50
  6. Step 6: Final answer
    x = 28,438.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.