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Finding the Fourth Proportional to 75,830.31, 113,786.37 and 31,487.67

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Solution

The fourth proportional to 75,830.31, 113,786.37 and 31,487.67 is: 47,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,830.31 : 113,786.37 = 31,487.67 : x
  2. Step 2: Convert to fraction form
    75,830.31/113,786.37 = 31,487.67/x
  3. Step 3: Cross multiply
    75,830.31x = 113,786.37 × 31,487.67
  4. Step 4: Simplify right side
    75,830.31x = 3,582,867,669.06
  5. Step 5: Solve for x
    x = 3,582,867,669.06/75,830.31
  6. Step 6: Final answer
    x = 47,248.49

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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.