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Finding the Fourth Proportional to 38,259.50, 57,380.13 and 16,073.30

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Solution

The fourth proportional to 38,259.50, 57,380.13 and 16,073.30 is: 24,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,259.50 : 57,380.13 = 16,073.30 : x
  2. Step 2: Convert to fraction form
    38,259.50/57,380.13 = 16,073.30/x
  3. Step 3: Cross multiply
    38,259.50x = 57,380.13 × 16,073.30
  4. Step 4: Simplify right side
    38,259.50x = 922,288,186.98
  5. Step 5: Solve for x
    x = 922,288,186.98/38,259.50
  6. Step 6: Final answer
    x = 24,106.13

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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.