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Finding the Fourth Proportional to 38,574.80, 57,850.86 and 16,388

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Solution

The fourth proportional to 38,574.80, 57,850.86 and 16,388 is: 24,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.80 : 57,850.86 = 16,388 : x
  2. Step 2: Convert to fraction form
    38,574.80/57,850.86 = 16,388/x
  3. Step 3: Cross multiply
    38,574.80x = 57,850.86 × 16,388
  4. Step 4: Simplify right side
    38,574.80x = 948,059,893.68
  5. Step 5: Solve for x
    x = 948,059,893.68/38,574.80
  6. Step 6: Final answer
    x = 24,577.18

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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.