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Finding the Fourth Proportional to 52,076.88, 71,849.16 and 33,220.08

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Solution

The fourth proportional to 52,076.88, 71,849.16 and 33,220.08 is: 45,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.88 : 71,849.16 = 33,220.08 : x
  2. Step 2: Convert to fraction form
    52,076.88/71,849.16 = 33,220.08/x
  3. Step 3: Cross multiply
    52,076.88x = 71,849.16 × 33,220.08
  4. Step 4: Simplify right side
    52,076.88x = 2,386,834,843.13
  5. Step 5: Solve for x
    x = 2,386,834,843.13/52,076.88
  6. Step 6: Final answer
    x = 45,832.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.