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Finding the Fourth Proportional to 31,283.43, 46,929.71 and 9,093.92

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Solution

The fourth proportional to 31,283.43, 46,929.71 and 9,093.92 is: 13,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.43 : 46,929.71 = 9,093.92 : x
  2. Step 2: Convert to fraction form
    31,283.43/46,929.71 = 9,093.92/x
  3. Step 3: Cross multiply
    31,283.43x = 46,929.71 × 9,093.92
  4. Step 4: Simplify right side
    31,283.43x = 426,775,168.42
  5. Step 5: Solve for x
    x = 426,775,168.42/31,283.43
  6. Step 6: Final answer
    x = 13,642.21

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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.