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Finding the Fourth Proportional to 31,354.16, 46,994.16 and 13,787.24

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Solution

The fourth proportional to 31,354.16, 46,994.16 and 13,787.24 is: 20,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,354.16 : 46,994.16 = 13,787.24 : x
  2. Step 2: Convert to fraction form
    31,354.16/46,994.16 = 13,787.24/x
  3. Step 3: Cross multiply
    31,354.16x = 46,994.16 × 13,787.24
  4. Step 4: Simplify right side
    31,354.16x = 647,919,762.52
  5. Step 5: Solve for x
    x = 647,919,762.52/31,354.16
  6. Step 6: Final answer
    x = 20,664.55

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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.