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Finding the Fourth Proportional to 33,878.66, 50,811.71 and 14,151.92

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Solution

The fourth proportional to 33,878.66, 50,811.71 and 14,151.92 is: 21,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.66 : 50,811.71 = 14,151.92 : x
  2. Step 2: Convert to fraction form
    33,878.66/50,811.71 = 14,151.92/x
  3. Step 3: Cross multiply
    33,878.66x = 50,811.71 × 14,151.92
  4. Step 4: Simplify right side
    33,878.66x = 719,082,930.17
  5. Step 5: Solve for x
    x = 719,082,930.17/33,878.66
  6. Step 6: Final answer
    x = 21,225.25

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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.