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Finding the Fourth Proportional to 65,022.44, 97,523.70 and 20,643.44

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Solution

The fourth proportional to 65,022.44, 97,523.70 and 20,643.44 is: 30,962.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.44 : 97,523.70 = 20,643.44 : x
  2. Step 2: Convert to fraction form
    65,022.44/97,523.70 = 20,643.44/x
  3. Step 3: Cross multiply
    65,022.44x = 97,523.70 × 20,643.44
  4. Step 4: Simplify right side
    65,022.44x = 2,013,224,649.53
  5. Step 5: Solve for x
    x = 2,013,224,649.53/65,022.44
  6. Step 6: Final answer
    x = 30,962.00

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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.