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Finding the Fourth Proportional to 75,882.60, 113,823.90 and 50,999.40

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Solution

The fourth proportional to 75,882.60, 113,823.90 and 50,999.40 is: 76,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.60 : 113,823.90 = 50,999.40 : x
  2. Step 2: Convert to fraction form
    75,882.60/113,823.90 = 50,999.40/x
  3. Step 3: Cross multiply
    75,882.60x = 113,823.90 × 50,999.40
  4. Step 4: Simplify right side
    75,882.60x = 5,804,950,605.66
  5. Step 5: Solve for x
    x = 5,804,950,605.66/75,882.60
  6. Step 6: Final answer
    x = 76,499.10

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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.