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Finding the Fourth Proportional to 99,806, 137,732.32 and 55,094

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Solution

The fourth proportional to 99,806, 137,732.32 and 55,094 is: 76,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806 : 137,732.32 = 55,094 : x
  2. Step 2: Convert to fraction form
    99,806/137,732.32 = 55,094/x
  3. Step 3: Cross multiply
    99,806x = 137,732.32 × 55,094
  4. Step 4: Simplify right side
    99,806x = 7,588,224,438.08
  5. Step 5: Solve for x
    x = 7,588,224,438.08/99,806
  6. Step 6: Final answer
    x = 76,029.74

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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.