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Finding the Fourth Proportional to 33,272, 49,916.24 and 9,898.36

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Solution

The fourth proportional to 33,272, 49,916.24 and 9,898.36 is: 14,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272 : 49,916.24 = 9,898.36 : x
  2. Step 2: Convert to fraction form
    33,272/49,916.24 = 9,898.36/x
  3. Step 3: Cross multiply
    33,272x = 49,916.24 × 9,898.36
  4. Step 4: Simplify right side
    33,272x = 494,088,913.37
  5. Step 5: Solve for x
    x = 494,088,913.37/33,272
  6. Step 6: Final answer
    x = 14,849.99

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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.