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Finding the Fourth Proportional to 38,075.83, 52,537.77 and 21,940.22

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Solution

The fourth proportional to 38,075.83, 52,537.77 and 21,940.22 is: 30,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.83 : 52,537.77 = 21,940.22 : x
  2. Step 2: Convert to fraction form
    38,075.83/52,537.77 = 21,940.22/x
  3. Step 3: Cross multiply
    38,075.83x = 52,537.77 × 21,940.22
  4. Step 4: Simplify right side
    38,075.83x = 1,152,690,363.45
  5. Step 5: Solve for x
    x = 1,152,690,363.45/38,075.83
  6. Step 6: Final answer
    x = 30,273.55

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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.