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Finding the Fourth Proportional to 65,576, 98,338.08 and 32,271.68

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Solution

The fourth proportional to 65,576, 98,338.08 and 32,271.68 is: 48,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576 : 98,338.08 = 32,271.68 : x
  2. Step 2: Convert to fraction form
    65,576/98,338.08 = 32,271.68/x
  3. Step 3: Cross multiply
    65,576x = 98,338.08 × 32,271.68
  4. Step 4: Simplify right side
    65,576x = 3,173,535,049.57
  5. Step 5: Solve for x
    x = 3,173,535,049.57/65,576
  6. Step 6: Final answer
    x = 48,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.