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Finding the Fourth Proportional to 37,034.82, 51,075.88 and 25,723.16

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Solution

The fourth proportional to 37,034.82, 51,075.88 and 25,723.16 is: 35,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,034.82 : 51,075.88 = 25,723.16 : x
  2. Step 2: Convert to fraction form
    37,034.82/51,075.88 = 25,723.16/x
  3. Step 3: Cross multiply
    37,034.82x = 51,075.88 × 25,723.16
  4. Step 4: Simplify right side
    37,034.82x = 1,313,833,033.38
  5. Step 5: Solve for x
    x = 1,313,833,033.38/37,034.82
  6. Step 6: Final answer
    x = 35,475.62

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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.