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Finding the Fourth Proportional to 30,865.79, 42,601.78 and 17,444.83

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Solution

The fourth proportional to 30,865.79, 42,601.78 and 17,444.83 is: 24,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.79 : 42,601.78 = 17,444.83 : x
  2. Step 2: Convert to fraction form
    30,865.79/42,601.78 = 17,444.83/x
  3. Step 3: Cross multiply
    30,865.79x = 42,601.78 × 17,444.83
  4. Step 4: Simplify right side
    30,865.79x = 743,180,665.70
  5. Step 5: Solve for x
    x = 743,180,665.70/30,865.79
  6. Step 6: Final answer
    x = 24,077.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.