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Finding the Fourth Proportional to 33,224.40, 49,842.72 and 9,530.94

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Solution

The fourth proportional to 33,224.40, 49,842.72 and 9,530.94 is: 14,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.40 : 49,842.72 = 9,530.94 : x
  2. Step 2: Convert to fraction form
    33,224.40/49,842.72 = 9,530.94/x
  3. Step 3: Cross multiply
    33,224.40x = 49,842.72 × 9,530.94
  4. Step 4: Simplify right side
    33,224.40x = 475,047,973.76
  5. Step 5: Solve for x
    x = 475,047,973.76/33,224.40
  6. Step 6: Final answer
    x = 14,298.17

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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.