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Finding the Fourth Proportional to 38,276, 57,414.24 and 10,574.24

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Solution

The fourth proportional to 38,276, 57,414.24 and 10,574.24 is: 15,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276 : 57,414.24 = 10,574.24 : x
  2. Step 2: Convert to fraction form
    38,276/57,414.24 = 10,574.24/x
  3. Step 3: Cross multiply
    38,276x = 57,414.24 × 10,574.24
  4. Step 4: Simplify right side
    38,276x = 607,111,953.18
  5. Step 5: Solve for x
    x = 607,111,953.18/38,276
  6. Step 6: Final answer
    x = 15,861.43

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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.