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Finding the Fourth Proportional to 38,552.40, 57,803.76 and 16,078.50

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Solution

The fourth proportional to 38,552.40, 57,803.76 and 16,078.50 is: 24,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,552.40 : 57,803.76 = 16,078.50 : x
  2. Step 2: Convert to fraction form
    38,552.40/57,803.76 = 16,078.50/x
  3. Step 3: Cross multiply
    38,552.40x = 57,803.76 × 16,078.50
  4. Step 4: Simplify right side
    38,552.40x = 929,397,755.16
  5. Step 5: Solve for x
    x = 929,397,755.16/38,552.40
  6. Step 6: Final answer
    x = 24,107.39

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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.