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Finding the Fourth Proportional to 65,576, 90,462.48 and 41,366

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Solution

The fourth proportional to 65,576, 90,462.48 and 41,366 is: 57,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576 : 90,462.48 = 41,366 : x
  2. Step 2: Convert to fraction form
    65,576/90,462.48 = 41,366/x
  3. Step 3: Cross multiply
    65,576x = 90,462.48 × 41,366
  4. Step 4: Simplify right side
    65,576x = 3,742,070,947.68
  5. Step 5: Solve for x
    x = 3,742,070,947.68/65,576
  6. Step 6: Final answer
    x = 57,064.64

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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.