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Finding the Fourth Proportional to 31,019.70, 46,493.10 and 23,219.40

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Solution

The fourth proportional to 31,019.70, 46,493.10 and 23,219.40 is: 34,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.70 : 46,493.10 = 23,219.40 : x
  2. Step 2: Convert to fraction form
    31,019.70/46,493.10 = 23,219.40/x
  3. Step 3: Cross multiply
    31,019.70x = 46,493.10 × 23,219.40
  4. Step 4: Simplify right side
    31,019.70x = 1,079,541,886.14
  5. Step 5: Solve for x
    x = 1,079,541,886.14/31,019.70
  6. Step 6: Final answer
    x = 34,801.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.