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Finding the Fourth Proportional to 33,266.16, 49,904.04 and 11,917.20

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Solution

The fourth proportional to 33,266.16, 49,904.04 and 11,917.20 is: 17,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.16 : 49,904.04 = 11,917.20 : x
  2. Step 2: Convert to fraction form
    33,266.16/49,904.04 = 11,917.20/x
  3. Step 3: Cross multiply
    33,266.16x = 49,904.04 × 11,917.20
  4. Step 4: Simplify right side
    33,266.16x = 594,716,425.49
  5. Step 5: Solve for x
    x = 594,716,425.49/33,266.16
  6. Step 6: Final answer
    x = 17,877.52

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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.