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Finding the Fourth Proportional to 76,761.96, 114,976.29 and 37,236

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Solution

The fourth proportional to 76,761.96, 114,976.29 and 37,236 is: 55,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761.96 : 114,976.29 = 37,236 : x
  2. Step 2: Convert to fraction form
    76,761.96/114,976.29 = 37,236/x
  3. Step 3: Cross multiply
    76,761.96x = 114,976.29 × 37,236
  4. Step 4: Simplify right side
    76,761.96x = 4,281,257,134.44
  5. Step 5: Solve for x
    x = 4,281,257,134.44/76,761.96
  6. Step 6: Final answer
    x = 55,773.16

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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.