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Finding the Fourth Proportional to 65,205.57, 97,814.99 and 22,505.44

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Solution

The fourth proportional to 65,205.57, 97,814.99 and 22,505.44 is: 33,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.57 : 97,814.99 = 22,505.44 : x
  2. Step 2: Convert to fraction form
    65,205.57/97,814.99 = 22,505.44/x
  3. Step 3: Cross multiply
    65,205.57x = 97,814.99 × 22,505.44
  4. Step 4: Simplify right side
    65,205.57x = 2,201,369,276.02
  5. Step 5: Solve for x
    x = 2,201,369,276.02/65,205.57
  6. Step 6: Final answer
    x = 33,760.45

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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.