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Finding the Fourth Proportional to 30,846.36, 46,287.90 and 13,315.80

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Solution

The fourth proportional to 30,846.36, 46,287.90 and 13,315.80 is: 19,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.36 : 46,287.90 = 13,315.80 : x
  2. Step 2: Convert to fraction form
    30,846.36/46,287.90 = 13,315.80/x
  3. Step 3: Cross multiply
    30,846.36x = 46,287.90 × 13,315.80
  4. Step 4: Simplify right side
    30,846.36x = 616,360,418.82
  5. Step 5: Solve for x
    x = 616,360,418.82/30,846.36
  6. Step 6: Final answer
    x = 19,981.63

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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.