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Finding the Fourth Proportional to 32,474.84, 48,755.07 and 32,101.22

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Solution

The fourth proportional to 32,474.84, 48,755.07 and 32,101.22 is: 48,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474.84 : 48,755.07 = 32,101.22 : x
  2. Step 2: Convert to fraction form
    32,474.84/48,755.07 = 32,101.22/x
  3. Step 3: Cross multiply
    32,474.84x = 48,755.07 × 32,101.22
  4. Step 4: Simplify right side
    32,474.84x = 1,565,096,984.41
  5. Step 5: Solve for x
    x = 1,565,096,984.41/32,474.84
  6. Step 6: Final answer
    x = 48,194.15

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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.