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Finding the Fourth Proportional to 76,827.72, 115,257.18 and 32,454.60

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Solution

The fourth proportional to 76,827.72, 115,257.18 and 32,454.60 is: 48,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827.72 : 115,257.18 = 32,454.60 : x
  2. Step 2: Convert to fraction form
    76,827.72/115,257.18 = 32,454.60/x
  3. Step 3: Cross multiply
    76,827.72x = 115,257.18 × 32,454.60
  4. Step 4: Simplify right side
    76,827.72x = 3,740,625,674.03
  5. Step 5: Solve for x
    x = 3,740,625,674.03/76,827.72
  6. Step 6: Final answer
    x = 48,688.49

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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.