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Finding the Fourth Proportional to 89,138.18, 122,980.05 and 52,832.28

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Solution

The fourth proportional to 89,138.18, 122,980.05 and 52,832.28 is: 72,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,138.18 : 122,980.05 = 52,832.28 : x
  2. Step 2: Convert to fraction form
    89,138.18/122,980.05 = 52,832.28/x
  3. Step 3: Cross multiply
    89,138.18x = 122,980.05 × 52,832.28
  4. Step 4: Simplify right side
    89,138.18x = 6,497,315,821.11
  5. Step 5: Solve for x
    x = 6,497,315,821.11/89,138.18
  6. Step 6: Final answer
    x = 72,890.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.