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Finding the Fourth Proportional to 113,670, 170,508.24 and 30,564

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Solution

The fourth proportional to 113,670, 170,508.24 and 30,564 is: 45,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,670 : 170,508.24 = 30,564 : x
  2. Step 2: Convert to fraction form
    113,670/170,508.24 = 30,564/x
  3. Step 3: Cross multiply
    113,670x = 170,508.24 × 30,564
  4. Step 4: Simplify right side
    113,670x = 5,211,413,847.36
  5. Step 5: Solve for x
    x = 5,211,413,847.36/113,670
  6. Step 6: Final answer
    x = 45,846.87

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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.