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Finding the Fourth Proportional to 32,755.60, 49,097.76 and 16,082.56

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Solution

The fourth proportional to 32,755.60, 49,097.76 and 16,082.56 is: 24,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.60 : 49,097.76 = 16,082.56 : x
  2. Step 2: Convert to fraction form
    32,755.60/49,097.76 = 16,082.56/x
  3. Step 3: Cross multiply
    32,755.60x = 49,097.76 × 16,082.56
  4. Step 4: Simplify right side
    32,755.60x = 789,617,671.07
  5. Step 5: Solve for x
    x = 789,617,671.07/32,755.60
  6. Step 6: Final answer
    x = 24,106.34

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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.