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Finding the Fourth Proportional to 33,153.10, 49,729.65 and 27,904.30

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Solution

The fourth proportional to 33,153.10, 49,729.65 and 27,904.30 is: 41,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.10 : 49,729.65 = 27,904.30 : x
  2. Step 2: Convert to fraction form
    33,153.10/49,729.65 = 27,904.30/x
  3. Step 3: Cross multiply
    33,153.10x = 49,729.65 × 27,904.30
  4. Step 4: Simplify right side
    33,153.10x = 1,387,671,072.50
  5. Step 5: Solve for x
    x = 1,387,671,072.50/33,153.10
  6. Step 6: Final answer
    x = 41,856.45

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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.