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Finding the Fourth Proportional to 76,463.88, 114,632.66 and 33,738.89

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Solution

The fourth proportional to 76,463.88, 114,632.66 and 33,738.89 is: 50,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463.88 : 114,632.66 = 33,738.89 : x
  2. Step 2: Convert to fraction form
    76,463.88/114,632.66 = 33,738.89/x
  3. Step 3: Cross multiply
    76,463.88x = 114,632.66 × 33,738.89
  4. Step 4: Simplify right side
    76,463.88x = 3,867,577,964.29
  5. Step 5: Solve for x
    x = 3,867,577,964.29/76,463.88
  6. Step 6: Final answer
    x = 50,580.46

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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.