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Finding the Fourth Proportional to 38,185, 57,278.58 and 10,483

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Solution

The fourth proportional to 38,185, 57,278.58 and 10,483 is: 15,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185 : 57,278.58 = 10,483 : x
  2. Step 2: Convert to fraction form
    38,185/57,278.58 = 10,483/x
  3. Step 3: Cross multiply
    38,185x = 57,278.58 × 10,483
  4. Step 4: Simplify right side
    38,185x = 600,451,354.14
  5. Step 5: Solve for x
    x = 600,451,354.14/38,185
  6. Step 6: Final answer
    x = 15,724.80

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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.