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Finding the Fourth Proportional to 33,204.18, 49,799.16 and 9,505.36

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Solution

The fourth proportional to 33,204.18, 49,799.16 and 9,505.36 is: 14,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.18 : 49,799.16 = 9,505.36 : x
  2. Step 2: Convert to fraction form
    33,204.18/49,799.16 = 9,505.36/x
  3. Step 3: Cross multiply
    33,204.18x = 49,799.16 × 9,505.36
  4. Step 4: Simplify right side
    33,204.18x = 473,358,943.50
  5. Step 5: Solve for x
    x = 473,358,943.50/33,204.18
  6. Step 6: Final answer
    x = 14,256.00

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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.