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Finding the Fourth Proportional to 31,937.50, 47,907.06 and 11,161

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Solution

The fourth proportional to 31,937.50, 47,907.06 and 11,161 is: 16,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.50 : 47,907.06 = 11,161 : x
  2. Step 2: Convert to fraction form
    31,937.50/47,907.06 = 11,161/x
  3. Step 3: Cross multiply
    31,937.50x = 47,907.06 × 11,161
  4. Step 4: Simplify right side
    31,937.50x = 534,690,696.66
  5. Step 5: Solve for x
    x = 534,690,696.66/31,937.50
  6. Step 6: Final answer
    x = 16,741.78

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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.