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Finding the Fourth Proportional to 76,512.71, 114,656.06 and 37,022.78

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Solution

The fourth proportional to 76,512.71, 114,656.06 and 37,022.78 is: 55,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.71 : 114,656.06 = 37,022.78 : x
  2. Step 2: Convert to fraction form
    76,512.71/114,656.06 = 37,022.78/x
  3. Step 3: Cross multiply
    76,512.71x = 114,656.06 × 37,022.78
  4. Step 4: Simplify right side
    76,512.71x = 4,244,885,511.77
  5. Step 5: Solve for x
    x = 4,244,885,511.77/76,512.71
  6. Step 6: Final answer
    x = 55,479.49

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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.