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Finding the Fourth Proportional to 89,902.71, 134,819 and 33,712.20

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Solution

The fourth proportional to 89,902.71, 134,819 and 33,712.20 is: 50,555.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,902.71 : 134,819 = 33,712.20 : x
  2. Step 2: Convert to fraction form
    89,902.71/134,819 = 33,712.20/x
  3. Step 3: Cross multiply
    89,902.71x = 134,819 × 33,712.20
  4. Step 4: Simplify right side
    89,902.71x = 4,545,044,417.71
  5. Step 5: Solve for x
    x = 4,545,044,417.71/89,902.71
  6. Step 6: Final answer
    x = 50,555.15

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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.