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Finding the Fourth Proportional to 89,058, 133,470.36 and 49,633.68

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Solution

The fourth proportional to 89,058, 133,470.36 and 49,633.68 is: 74,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,058 : 133,470.36 = 49,633.68 : x
  2. Step 2: Convert to fraction form
    89,058/133,470.36 = 49,633.68/x
  3. Step 3: Cross multiply
    89,058x = 133,470.36 × 49,633.68
  4. Step 4: Simplify right side
    89,058x = 6,624,625,137.72
  5. Step 5: Solve for x
    x = 6,624,625,137.72/89,058
  6. Step 6: Final answer
    x = 74,385.51

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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.