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Finding the Fourth Proportional to 31,548.34, 47,354.10 and 22,674.10

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Solution

The fourth proportional to 31,548.34, 47,354.10 and 22,674.10 is: 34,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.34 : 47,354.10 = 22,674.10 : x
  2. Step 2: Convert to fraction form
    31,548.34/47,354.10 = 22,674.10/x
  3. Step 3: Cross multiply
    31,548.34x = 47,354.10 × 22,674.10
  4. Step 4: Simplify right side
    31,548.34x = 1,073,711,598.81
  5. Step 5: Solve for x
    x = 1,073,711,598.81/31,548.34
  6. Step 6: Final answer
    x = 34,033.85

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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.