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Finding the Fourth Proportional to 65,046.42, 97,491.96 and 33,471.63

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Solution

The fourth proportional to 65,046.42, 97,491.96 and 33,471.63 is: 50,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,046.42 : 97,491.96 = 33,471.63 : x
  2. Step 2: Convert to fraction form
    65,046.42/97,491.96 = 33,471.63/x
  3. Step 3: Cross multiply
    65,046.42x = 97,491.96 × 33,471.63
  4. Step 4: Simplify right side
    65,046.42x = 3,263,214,813.09
  5. Step 5: Solve for x
    x = 3,263,214,813.09/65,046.42
  6. Step 6: Final answer
    x = 50,167.48

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1.5x scale

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.