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Finding the Fourth Proportional to 33,335.66, 49,965.42 and 11,143.82

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Solution

The fourth proportional to 33,335.66, 49,965.42 and 11,143.82 is: 16,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335.66 : 49,965.42 = 11,143.82 : x
  2. Step 2: Convert to fraction form
    33,335.66/49,965.42 = 11,143.82/x
  3. Step 3: Cross multiply
    33,335.66x = 49,965.42 × 11,143.82
  4. Step 4: Simplify right side
    33,335.66x = 556,805,646.70
  5. Step 5: Solve for x
    x = 556,805,646.70/33,335.66
  6. Step 6: Final answer
    x = 16,703.00

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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.