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Finding the Fourth Proportional to 54,782.52, 82,207.80 and 35,075.22

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Solution

The fourth proportional to 54,782.52, 82,207.80 and 35,075.22 is: 52,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.52 : 82,207.80 = 35,075.22 : x
  2. Step 2: Convert to fraction form
    54,782.52/82,207.80 = 35,075.22/x
  3. Step 3: Cross multiply
    54,782.52x = 82,207.80 × 35,075.22
  4. Step 4: Simplify right side
    54,782.52x = 2,883,456,670.72
  5. Step 5: Solve for x
    x = 2,883,456,670.72/54,782.52
  6. Step 6: Final answer
    x = 52,634.61

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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.