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Finding the Fourth Proportional to 38,075.19, 52,542.61 and 21,080.13

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Solution

The fourth proportional to 38,075.19, 52,542.61 and 21,080.13 is: 29,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.19 : 52,542.61 = 21,080.13 : x
  2. Step 2: Convert to fraction form
    38,075.19/52,542.61 = 21,080.13/x
  3. Step 3: Cross multiply
    38,075.19x = 52,542.61 × 21,080.13
  4. Step 4: Simplify right side
    38,075.19x = 1,107,605,049.34
  5. Step 5: Solve for x
    x = 1,107,605,049.34/38,075.19
  6. Step 6: Final answer
    x = 29,089.94

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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.