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Finding the Fourth Proportional to 38,274, 57,414.24 and 10,572

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Solution

The fourth proportional to 38,274, 57,414.24 and 10,572 is: 15,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 57,414.24 = 10,572 : x
  2. Step 2: Convert to fraction form
    38,274/57,414.24 = 10,572/x
  3. Step 3: Cross multiply
    38,274x = 57,414.24 × 10,572
  4. Step 4: Simplify right side
    38,274x = 606,983,345.28
  5. Step 5: Solve for x
    x = 606,983,345.28/38,274
  6. Step 6: Final answer
    x = 15,858.89

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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.