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Finding the Fourth Proportional to 31,195.44, 46,710 and 20,041.20

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Solution

The fourth proportional to 31,195.44, 46,710 and 20,041.20 is: 30,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195.44 : 46,710 = 20,041.20 : x
  2. Step 2: Convert to fraction form
    31,195.44/46,710 = 20,041.20/x
  3. Step 3: Cross multiply
    31,195.44x = 46,710 × 20,041.20
  4. Step 4: Simplify right side
    31,195.44x = 936,124,452
  5. Step 5: Solve for x
    x = 936,124,452/31,195.44
  6. Step 6: Final answer
    x = 30,008.37

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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.