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Finding the Fourth Proportional to 31,900.08, 47,850.12 and 8,525.28

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Solution

The fourth proportional to 31,900.08, 47,850.12 and 8,525.28 is: 12,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900.08 : 47,850.12 = 8,525.28 : x
  2. Step 2: Convert to fraction form
    31,900.08/47,850.12 = 8,525.28/x
  3. Step 3: Cross multiply
    31,900.08x = 47,850.12 × 8,525.28
  4. Step 4: Simplify right side
    31,900.08x = 407,935,671.03
  5. Step 5: Solve for x
    x = 407,935,671.03/31,900.08
  6. Step 6: Final answer
    x = 12,787.92

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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.