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Finding the Fourth Proportional to 102,649.86, 153,974.64 and 32,523.71

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Solution

The fourth proportional to 102,649.86, 153,974.64 and 32,523.71 is: 48,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,649.86 : 153,974.64 = 32,523.71 : x
  2. Step 2: Convert to fraction form
    102,649.86/153,974.64 = 32,523.71/x
  3. Step 3: Cross multiply
    102,649.86x = 153,974.64 × 32,523.71
  4. Step 4: Simplify right side
    102,649.86x = 5,007,825,768.84
  5. Step 5: Solve for x
    x = 5,007,825,768.84/102,649.86
  6. Step 6: Final answer
    x = 48,785.51

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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.