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Finding the Fourth Proportional to 89,165.42, 123,052.11 and 53,348.54

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Solution

The fourth proportional to 89,165.42, 123,052.11 and 53,348.54 is: 73,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,165.42 : 123,052.11 = 53,348.54 : x
  2. Step 2: Convert to fraction form
    89,165.42/123,052.11 = 53,348.54/x
  3. Step 3: Cross multiply
    89,165.42x = 123,052.11 × 53,348.54
  4. Step 4: Simplify right side
    89,165.42x = 6,564,650,589.36
  5. Step 5: Solve for x
    x = 6,564,650,589.36/89,165.42
  6. Step 6: Final answer
    x = 73,623.28

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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.