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Finding the Fourth Proportional to 76,034.34, 113,980.50 and 31,632.84

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Solution

The fourth proportional to 76,034.34, 113,980.50 and 31,632.84 is: 47,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,034.34 : 113,980.50 = 31,632.84 : x
  2. Step 2: Convert to fraction form
    76,034.34/113,980.50 = 31,632.84/x
  3. Step 3: Cross multiply
    76,034.34x = 113,980.50 × 31,632.84
  4. Step 4: Simplify right side
    76,034.34x = 3,605,526,919.62
  5. Step 5: Solve for x
    x = 3,605,526,919.62/76,034.34
  6. Step 6: Final answer
    x = 47,419.72

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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.