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Finding the Fourth Proportional to 60,214.40, 83,093.52 and 32,990

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Solution

The fourth proportional to 60,214.40, 83,093.52 and 32,990 is: 45,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,214.40 : 83,093.52 = 32,990 : x
  2. Step 2: Convert to fraction form
    60,214.40/83,093.52 = 32,990/x
  3. Step 3: Cross multiply
    60,214.40x = 83,093.52 × 32,990
  4. Step 4: Simplify right side
    60,214.40x = 2,741,255,224.80
  5. Step 5: Solve for x
    x = 2,741,255,224.80/60,214.40
  6. Step 6: Final answer
    x = 45,524.91

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