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Finding the Fourth Proportional to 89,738, 123,838.44 and 52,034.12

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Solution

The fourth proportional to 89,738, 123,838.44 and 52,034.12 is: 71,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,738 : 123,838.44 = 52,034.12 : x
  2. Step 2: Convert to fraction form
    89,738/123,838.44 = 52,034.12/x
  3. Step 3: Cross multiply
    89,738x = 123,838.44 × 52,034.12
  4. Step 4: Simplify right side
    89,738x = 6,443,824,247.57
  5. Step 5: Solve for x
    x = 6,443,824,247.57/89,738
  6. Step 6: Final answer
    x = 71,807.09

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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.