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Finding the Fourth Proportional to 33,284.66, 49,929.48 and 10,486.53

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Solution

The fourth proportional to 33,284.66, 49,929.48 and 10,486.53 is: 15,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284.66 : 49,929.48 = 10,486.53 : x
  2. Step 2: Convert to fraction form
    33,284.66/49,929.48 = 10,486.53/x
  3. Step 3: Cross multiply
    33,284.66x = 49,929.48 × 10,486.53
  4. Step 4: Simplify right side
    33,284.66x = 523,586,989.90
  5. Step 5: Solve for x
    x = 523,586,989.90/33,284.66
  6. Step 6: Final answer
    x = 15,730.58

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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.