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Finding the Fourth Proportional to 96,840.87, 145,305.13 and 49,431.50

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Solution

The fourth proportional to 96,840.87, 145,305.13 and 49,431.50 is: 74,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,840.87 : 145,305.13 = 49,431.50 : x
  2. Step 2: Convert to fraction form
    96,840.87/145,305.13 = 49,431.50/x
  3. Step 3: Cross multiply
    96,840.87x = 145,305.13 × 49,431.50
  4. Step 4: Simplify right side
    96,840.87x = 7,182,650,257.86
  5. Step 5: Solve for x
    x = 7,182,650,257.86/96,840.87
  6. Step 6: Final answer
    x = 74,169.62

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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.