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Finding the Fourth Proportional to 38,197, 57,298.74 and 10,495

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Solution

The fourth proportional to 38,197, 57,298.74 and 10,495 is: 15,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 57,298.74 = 10,495 : x
  2. Step 2: Convert to fraction form
    38,197/57,298.74 = 10,495/x
  3. Step 3: Cross multiply
    38,197x = 57,298.74 × 10,495
  4. Step 4: Simplify right side
    38,197x = 601,350,276.30
  5. Step 5: Solve for x
    x = 601,350,276.30/38,197
  6. Step 6: Final answer
    x = 15,743.39

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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.