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Finding the Fourth Proportional to 76,938.08, 106,101.20 and 50,049.76

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Solution

The fourth proportional to 76,938.08, 106,101.20 and 50,049.76 is: 69,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,938.08 : 106,101.20 = 50,049.76 : x
  2. Step 2: Convert to fraction form
    76,938.08/106,101.20 = 50,049.76/x
  3. Step 3: Cross multiply
    76,938.08x = 106,101.20 × 50,049.76
  4. Step 4: Simplify right side
    76,938.08x = 5,310,339,595.71
  5. Step 5: Solve for x
    x = 5,310,339,595.71/76,938.08
  6. Step 6: Final answer
    x = 69,020.95

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