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Finding the Fourth Proportional to 76,141.50, 114,264.09 and 45,772.98

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Solution

The fourth proportional to 76,141.50, 114,264.09 and 45,772.98 is: 68,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.50 : 114,264.09 = 45,772.98 : x
  2. Step 2: Convert to fraction form
    76,141.50/114,264.09 = 45,772.98/x
  3. Step 3: Cross multiply
    76,141.50x = 114,264.09 × 45,772.98
  4. Step 4: Simplify right side
    76,141.50x = 5,230,207,906.29
  5. Step 5: Solve for x
    x = 5,230,207,906.29/76,141.50
  6. Step 6: Final answer
    x = 68,690.63

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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.