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Finding the Fourth Proportional to 77,078.88, 115,618.38 and 50,447.40

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Solution

The fourth proportional to 77,078.88, 115,618.38 and 50,447.40 is: 75,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078.88 : 115,618.38 = 50,447.40 : x
  2. Step 2: Convert to fraction form
    77,078.88/115,618.38 = 50,447.40/x
  3. Step 3: Cross multiply
    77,078.88x = 115,618.38 × 50,447.40
  4. Step 4: Simplify right side
    77,078.88x = 5,832,646,663.21
  5. Step 5: Solve for x
    x = 5,832,646,663.21/77,078.88
  6. Step 6: Final answer
    x = 75,671.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.