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Finding the Fourth Proportional to 103,083.69, 154,649.79 and 32,002.71

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Solution

The fourth proportional to 103,083.69, 154,649.79 and 32,002.71 is: 48,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.69 : 154,649.79 = 32,002.71 : x
  2. Step 2: Convert to fraction form
    103,083.69/154,649.79 = 32,002.71/x
  3. Step 3: Cross multiply
    103,083.69x = 154,649.79 × 32,002.71
  4. Step 4: Simplify right side
    103,083.69x = 4,949,212,380.93
  5. Step 5: Solve for x
    x = 4,949,212,380.93/103,083.69
  6. Step 6: Final answer
    x = 48,011.60

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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.