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Finding the Fourth Proportional to 89,341.29, 133,982.18 and 36,019.49

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Solution

The fourth proportional to 89,341.29, 133,982.18 and 36,019.49 is: 54,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,341.29 : 133,982.18 = 36,019.49 : x
  2. Step 2: Convert to fraction form
    89,341.29/133,982.18 = 36,019.49/x
  3. Step 3: Cross multiply
    89,341.29x = 133,982.18 × 36,019.49
  4. Step 4: Simplify right side
    89,341.29x = 4,825,969,612.59
  5. Step 5: Solve for x
    x = 4,825,969,612.59/89,341.29
  6. Step 6: Final answer
    x = 54,017.24

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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.