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Finding the Fourth Proportional to 76,791.60, 115,168.50 and 32,395.50

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Solution

The fourth proportional to 76,791.60, 115,168.50 and 32,395.50 is: 48,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,791.60 : 115,168.50 = 32,395.50 : x
  2. Step 2: Convert to fraction form
    76,791.60/115,168.50 = 32,395.50/x
  3. Step 3: Cross multiply
    76,791.60x = 115,168.50 × 32,395.50
  4. Step 4: Simplify right side
    76,791.60x = 3,730,941,141.75
  5. Step 5: Solve for x
    x = 3,730,941,141.75/76,791.60
  6. Step 6: Final answer
    x = 48,585.28

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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.