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Finding the Fourth Proportional to 38,248, 57,376.86 and 10,546

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Solution

The fourth proportional to 38,248, 57,376.86 and 10,546 is: 15,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,248 : 57,376.86 = 10,546 : x
  2. Step 2: Convert to fraction form
    38,248/57,376.86 = 10,546/x
  3. Step 3: Cross multiply
    38,248x = 57,376.86 × 10,546
  4. Step 4: Simplify right side
    38,248x = 605,096,365.56
  5. Step 5: Solve for x
    x = 605,096,365.56/38,248
  6. Step 6: Final answer
    x = 15,820.34

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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.