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Finding the Fourth Proportional to 33,218.19, 49,812.84 and 9,520.51

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Solution

The fourth proportional to 33,218.19, 49,812.84 and 9,520.51 is: 14,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218.19 : 49,812.84 = 9,520.51 : x
  2. Step 2: Convert to fraction form
    33,218.19/49,812.84 = 9,520.51/x
  3. Step 3: Cross multiply
    33,218.19x = 49,812.84 × 9,520.51
  4. Step 4: Simplify right side
    33,218.19x = 474,243,641.35
  5. Step 5: Solve for x
    x = 474,243,641.35/33,218.19
  6. Step 6: Final answer
    x = 14,276.63

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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.