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Finding the Fourth Proportional to 65,756.33, 90,741.90 and 37,075.73

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Solution

The fourth proportional to 65,756.33, 90,741.90 and 37,075.73 is: 51,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,756.33 : 90,741.90 = 37,075.73 : x
  2. Step 2: Convert to fraction form
    65,756.33/90,741.90 = 37,075.73/x
  3. Step 3: Cross multiply
    65,756.33x = 90,741.90 × 37,075.73
  4. Step 4: Simplify right side
    65,756.33x = 3,364,321,730.38
  5. Step 5: Solve for x
    x = 3,364,321,730.38/65,756.33
  6. Step 6: Final answer
    x = 51,163.47

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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.