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Finding the Fourth Proportional to 33,225.28, 49,828.14 and 11,033.68

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Solution

The fourth proportional to 33,225.28, 49,828.14 and 11,033.68 is: 16,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,225.28 : 49,828.14 = 11,033.68 : x
  2. Step 2: Convert to fraction form
    33,225.28/49,828.14 = 11,033.68/x
  3. Step 3: Cross multiply
    33,225.28x = 49,828.14 × 11,033.68
  4. Step 4: Simplify right side
    33,225.28x = 549,787,751.76
  5. Step 5: Solve for x
    x = 549,787,751.76/33,225.28
  6. Step 6: Final answer
    x = 16,547.27

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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.