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Finding the Fourth Proportional to 31,808.80, 47,713.20 and 24,450.40

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Solution

The fourth proportional to 31,808.80, 47,713.20 and 24,450.40 is: 36,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.80 : 47,713.20 = 24,450.40 : x
  2. Step 2: Convert to fraction form
    31,808.80/47,713.20 = 24,450.40/x
  3. Step 3: Cross multiply
    31,808.80x = 47,713.20 × 24,450.40
  4. Step 4: Simplify right side
    31,808.80x = 1,166,606,825.28
  5. Step 5: Solve for x
    x = 1,166,606,825.28/31,808.80
  6. Step 6: Final answer
    x = 36,675.60

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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.