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Finding the Fourth Proportional to 33,707, 46,517.10 and 18,803

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Solution

The fourth proportional to 33,707, 46,517.10 and 18,803 is: 25,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707 : 46,517.10 = 18,803 : x
  2. Step 2: Convert to fraction form
    33,707/46,517.10 = 18,803/x
  3. Step 3: Cross multiply
    33,707x = 46,517.10 × 18,803
  4. Step 4: Simplify right side
    33,707x = 874,661,031.30
  5. Step 5: Solve for x
    x = 874,661,031.30/33,707
  6. Step 6: Final answer
    x = 25,948.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.