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Finding the Fourth Proportional to 33,111.32, 49,665.86 and 14,391.34

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Solution

The fourth proportional to 33,111.32, 49,665.86 and 14,391.34 is: 21,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111.32 : 49,665.86 = 14,391.34 : x
  2. Step 2: Convert to fraction form
    33,111.32/49,665.86 = 14,391.34/x
  3. Step 3: Cross multiply
    33,111.32x = 49,665.86 × 14,391.34
  4. Step 4: Simplify right side
    33,111.32x = 714,758,135.50
  5. Step 5: Solve for x
    x = 714,758,135.50/33,111.32
  6. Step 6: Final answer
    x = 21,586.52

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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.