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Finding the Fourth Proportional to 31,192.50, 46,774.17 and 10,401.42

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Solution

The fourth proportional to 31,192.50, 46,774.17 and 10,401.42 is: 15,597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192.50 : 46,774.17 = 10,401.42 : x
  2. Step 2: Convert to fraction form
    31,192.50/46,774.17 = 10,401.42/x
  3. Step 3: Cross multiply
    31,192.50x = 46,774.17 × 10,401.42
  4. Step 4: Simplify right side
    31,192.50x = 486,517,787.32
  5. Step 5: Solve for x
    x = 486,517,787.32/31,192.50
  6. Step 6: Final answer
    x = 15,597.27

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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.