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Finding the Fourth Proportional to 32,134.66, 48,201.47 and 8,761.10

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Solution

The fourth proportional to 32,134.66, 48,201.47 and 8,761.10 is: 13,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.66 : 48,201.47 = 8,761.10 : x
  2. Step 2: Convert to fraction form
    32,134.66/48,201.47 = 8,761.10/x
  3. Step 3: Cross multiply
    32,134.66x = 48,201.47 × 8,761.10
  4. Step 4: Simplify right side
    32,134.66x = 422,297,831.71
  5. Step 5: Solve for x
    x = 422,297,831.71/32,134.66
  6. Step 6: Final answer
    x = 13,141.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.