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Finding the Fourth Proportional to 75,676.32, 113,510.25 and 23,081.67

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Solution

The fourth proportional to 75,676.32, 113,510.25 and 23,081.67 is: 34,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,676.32 : 113,510.25 = 23,081.67 : x
  2. Step 2: Convert to fraction form
    75,676.32/113,510.25 = 23,081.67/x
  3. Step 3: Cross multiply
    75,676.32x = 113,510.25 × 23,081.67
  4. Step 4: Simplify right side
    75,676.32x = 2,620,006,132.12
  5. Step 5: Solve for x
    x = 2,620,006,132.12/75,676.32
  6. Step 6: Final answer
    x = 34,621.21

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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.