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Finding the Fourth Proportional to 60,213.40, 83,092.14 and 32,989

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Solution

The fourth proportional to 60,213.40, 83,092.14 and 32,989 is: 45,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,213.40 : 83,092.14 = 32,989 : x
  2. Step 2: Convert to fraction form
    60,213.40/83,092.14 = 32,989/x
  3. Step 3: Cross multiply
    60,213.40x = 83,092.14 × 32,989
  4. Step 4: Simplify right side
    60,213.40x = 2,741,126,606.46
  5. Step 5: Solve for x
    x = 2,741,126,606.46/60,213.40
  6. Step 6: Final answer
    x = 45,523.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.