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Finding the Fourth Proportional to 31,119.40, 46,679.10 and 10,340.20

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Solution

The fourth proportional to 31,119.40, 46,679.10 and 10,340.20 is: 15,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.40 : 46,679.10 = 10,340.20 : x
  2. Step 2: Convert to fraction form
    31,119.40/46,679.10 = 10,340.20/x
  3. Step 3: Cross multiply
    31,119.40x = 46,679.10 × 10,340.20
  4. Step 4: Simplify right side
    31,119.40x = 482,671,229.82
  5. Step 5: Solve for x
    x = 482,671,229.82/31,119.40
  6. Step 6: Final answer
    x = 15,510.30

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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.