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Finding the Fourth Proportional to 49,437, 74,164.82 and 19,857.15

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Solution

The fourth proportional to 49,437, 74,164.82 and 19,857.15 is: 29,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437 : 74,164.82 = 19,857.15 : x
  2. Step 2: Convert to fraction form
    49,437/74,164.82 = 19,857.15/x
  3. Step 3: Cross multiply
    49,437x = 74,164.82 × 19,857.15
  4. Step 4: Simplify right side
    49,437x = 1,472,701,856.18
  5. Step 5: Solve for x
    x = 1,472,701,856.18/49,437
  6. Step 6: Final answer
    x = 29,789.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.