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Finding the Fourth Proportional to 52,075.38, 71,847.09 and 33,218.58

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Solution

The fourth proportional to 52,075.38, 71,847.09 and 33,218.58 is: 45,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.38 : 71,847.09 = 33,218.58 : x
  2. Step 2: Convert to fraction form
    52,075.38/71,847.09 = 33,218.58/x
  3. Step 3: Cross multiply
    52,075.38x = 71,847.09 × 33,218.58
  4. Step 4: Simplify right side
    52,075.38x = 2,386,658,306.93
  5. Step 5: Solve for x
    x = 2,386,658,306.93/52,075.38
  6. Step 6: Final answer
    x = 45,830.84

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Why These Related Problems?

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