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Finding the Fourth Proportional to 38,747.08, 53,472.72 and 30,349

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Solution

The fourth proportional to 38,747.08, 53,472.72 and 30,349 is: 41,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747.08 : 53,472.72 = 30,349 : x
  2. Step 2: Convert to fraction form
    38,747.08/53,472.72 = 30,349/x
  3. Step 3: Cross multiply
    38,747.08x = 53,472.72 × 30,349
  4. Step 4: Simplify right side
    38,747.08x = 1,622,843,579.28
  5. Step 5: Solve for x
    x = 1,622,843,579.28/38,747.08
  6. Step 6: Final answer
    x = 41,882.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.