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Finding the Fourth Proportional to 65,057.82, 97,644.33 and 33,490.14

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Solution

The fourth proportional to 65,057.82, 97,644.33 and 33,490.14 is: 50,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.82 : 97,644.33 = 33,490.14 : x
  2. Step 2: Convert to fraction form
    65,057.82/97,644.33 = 33,490.14/x
  3. Step 3: Cross multiply
    65,057.82x = 97,644.33 × 33,490.14
  4. Step 4: Simplify right side
    65,057.82x = 3,270,122,281.91
  5. Step 5: Solve for x
    x = 3,270,122,281.91/65,057.82
  6. Step 6: Final answer
    x = 50,264.86

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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.