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Finding the Fourth Proportional to 33,097.74, 49,650.26 and 9,726

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Solution

The fourth proportional to 33,097.74, 49,650.26 and 9,726 is: 14,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,097.74 : 49,650.26 = 9,726 : x
  2. Step 2: Convert to fraction form
    33,097.74/49,650.26 = 9,726/x
  3. Step 3: Cross multiply
    33,097.74x = 49,650.26 × 9,726
  4. Step 4: Simplify right side
    33,097.74x = 482,898,428.76
  5. Step 5: Solve for x
    x = 482,898,428.76/33,097.74
  6. Step 6: Final answer
    x = 14,590.07

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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.