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Finding the Fourth Proportional to 33,152.90, 49,730.99 and 9,463.94

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Solution

The fourth proportional to 33,152.90, 49,730.99 and 9,463.94 is: 14,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152.90 : 49,730.99 = 9,463.94 : x
  2. Step 2: Convert to fraction form
    33,152.90/49,730.99 = 9,463.94/x
  3. Step 3: Cross multiply
    33,152.90x = 49,730.99 × 9,463.94
  4. Step 4: Simplify right side
    33,152.90x = 470,650,809.53
  5. Step 5: Solve for x
    x = 470,650,809.53/33,152.90
  6. Step 6: Final answer
    x = 14,196.37

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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.