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Finding the Fourth Proportional to 38,486.54, 57,686.04 and 16,286.06

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Solution

The fourth proportional to 38,486.54, 57,686.04 and 16,286.06 is: 24,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,486.54 : 57,686.04 = 16,286.06 : x
  2. Step 2: Convert to fraction form
    38,486.54/57,686.04 = 16,286.06/x
  3. Step 3: Cross multiply
    38,486.54x = 57,686.04 × 16,286.06
  4. Step 4: Simplify right side
    38,486.54x = 939,478,020.17
  5. Step 5: Solve for x
    x = 939,478,020.17/38,486.54
  6. Step 6: Final answer
    x = 24,410.56

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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.