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Finding the Fourth Proportional to 102,707.20, 154,072.80 and 32,593.60

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Solution

The fourth proportional to 102,707.20, 154,072.80 and 32,593.60 is: 48,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.20 : 154,072.80 = 32,593.60 : x
  2. Step 2: Convert to fraction form
    102,707.20/154,072.80 = 32,593.60/x
  3. Step 3: Cross multiply
    102,707.20x = 154,072.80 × 32,593.60
  4. Step 4: Simplify right side
    102,707.20x = 5,021,787,214.08
  5. Step 5: Solve for x
    x = 5,021,787,214.08/102,707.20
  6. Step 6: Final answer
    x = 48,894.21

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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.