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Finding the Fourth Proportional to 38,793.84, 58,190.76 and 18,006

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Solution

The fourth proportional to 38,793.84, 58,190.76 and 18,006 is: 27,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,793.84 : 58,190.76 = 18,006 : x
  2. Step 2: Convert to fraction form
    38,793.84/58,190.76 = 18,006/x
  3. Step 3: Cross multiply
    38,793.84x = 58,190.76 × 18,006
  4. Step 4: Simplify right side
    38,793.84x = 1,047,782,824.56
  5. Step 5: Solve for x
    x = 1,047,782,824.56/38,793.84
  6. Step 6: Final answer
    x = 27,009.00

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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.