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Finding the Fourth Proportional to 82,759.44, 114,206.72 and 45,033.60

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Solution

The fourth proportional to 82,759.44, 114,206.72 and 45,033.60 is: 62,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.44 : 114,206.72 = 45,033.60 : x
  2. Step 2: Convert to fraction form
    82,759.44/114,206.72 = 45,033.60/x
  3. Step 3: Cross multiply
    82,759.44x = 114,206.72 × 45,033.60
  4. Step 4: Simplify right side
    82,759.44x = 5,143,139,745.79
  5. Step 5: Solve for x
    x = 5,143,139,745.79/82,759.44
  6. Step 6: Final answer
    x = 62,145.66

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1.5x scale

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.