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Finding the Fourth Proportional to 75,431.20, 113,146.80 and 49,187.20

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Solution

The fourth proportional to 75,431.20, 113,146.80 and 49,187.20 is: 73,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431.20 : 113,146.80 = 49,187.20 : x
  2. Step 2: Convert to fraction form
    75,431.20/113,146.80 = 49,187.20/x
  3. Step 3: Cross multiply
    75,431.20x = 113,146.80 × 49,187.20
  4. Step 4: Simplify right side
    75,431.20x = 5,565,374,280.96
  5. Step 5: Solve for x
    x = 5,565,374,280.96/75,431.20
  6. Step 6: Final answer
    x = 73,780.80

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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.