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Finding the Fourth Proportional to 33,111, 49,633.70 and 15,549.39

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Solution

The fourth proportional to 33,111, 49,633.70 and 15,549.39 is: 23,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111 : 49,633.70 = 15,549.39 : x
  2. Step 2: Convert to fraction form
    33,111/49,633.70 = 15,549.39/x
  3. Step 3: Cross multiply
    33,111x = 49,633.70 × 15,549.39
  4. Step 4: Simplify right side
    33,111x = 771,773,680.70
  5. Step 5: Solve for x
    x = 771,773,680.70/33,111
  6. Step 6: Final answer
    x = 23,308.68

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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.