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Finding the Fourth Proportional to 31,396.49, 47,113.10 and 11,689.01

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Solution

The fourth proportional to 31,396.49, 47,113.10 and 11,689.01 is: 17,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.49 : 47,113.10 = 11,689.01 : x
  2. Step 2: Convert to fraction form
    31,396.49/47,113.10 = 11,689.01/x
  3. Step 3: Cross multiply
    31,396.49x = 47,113.10 × 11,689.01
  4. Step 4: Simplify right side
    31,396.49x = 550,705,438.59
  5. Step 5: Solve for x
    x = 550,705,438.59/31,396.49
  6. Step 6: Final answer
    x = 17,540.35

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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.