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Finding the Fourth Proportional to 38,473.41, 57,709.62 and 12,178.11

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Solution

The fourth proportional to 38,473.41, 57,709.62 and 12,178.11 is: 18,267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,473.41 : 57,709.62 = 12,178.11 : x
  2. Step 2: Convert to fraction form
    38,473.41/57,709.62 = 12,178.11/x
  3. Step 3: Cross multiply
    38,473.41x = 57,709.62 × 12,178.11
  4. Step 4: Simplify right side
    38,473.41x = 702,794,100.42
  5. Step 5: Solve for x
    x = 702,794,100.42/38,473.41
  6. Step 6: Final answer
    x = 18,267.01

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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.