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Finding the Fourth Proportional to 89,882, 124,037.16 and 50,138

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Solution

The fourth proportional to 89,882, 124,037.16 and 50,138 is: 69,190.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,882 : 124,037.16 = 50,138 : x
  2. Step 2: Convert to fraction form
    89,882/124,037.16 = 50,138/x
  3. Step 3: Cross multiply
    89,882x = 124,037.16 × 50,138
  4. Step 4: Simplify right side
    89,882x = 6,218,975,128.08
  5. Step 5: Solve for x
    x = 6,218,975,128.08/89,882
  6. Step 6: Final answer
    x = 69,190.44

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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.