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Finding the Fourth Proportional to 33,277.08, 49,901.04 and 12,486

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Solution

The fourth proportional to 33,277.08, 49,901.04 and 12,486 is: 18,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277.08 : 49,901.04 = 12,486 : x
  2. Step 2: Convert to fraction form
    33,277.08/49,901.04 = 12,486/x
  3. Step 3: Cross multiply
    33,277.08x = 49,901.04 × 12,486
  4. Step 4: Simplify right side
    33,277.08x = 623,064,385.44
  5. Step 5: Solve for x
    x = 623,064,385.44/33,277.08
  6. Step 6: Final answer
    x = 18,723.53

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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.