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Finding the Fourth Proportional to 103,073.44, 154,632.21 and 31,994.53

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Solution

The fourth proportional to 103,073.44, 154,632.21 and 31,994.53 is: 47,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,073.44 : 154,632.21 = 31,994.53 : x
  2. Step 2: Convert to fraction form
    103,073.44/154,632.21 = 31,994.53/x
  3. Step 3: Cross multiply
    103,073.44x = 154,632.21 × 31,994.53
  4. Step 4: Simplify right side
    103,073.44x = 4,947,384,881.81
  5. Step 5: Solve for x
    x = 4,947,384,881.81/103,073.44
  6. Step 6: Final answer
    x = 47,998.64

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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.