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Finding the Fourth Proportional to 32,803.05, 49,206.09 and 10,618.17

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Solution

The fourth proportional to 32,803.05, 49,206.09 and 10,618.17 is: 15,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.05 : 49,206.09 = 10,618.17 : x
  2. Step 2: Convert to fraction form
    32,803.05/49,206.09 = 10,618.17/x
  3. Step 3: Cross multiply
    32,803.05x = 49,206.09 × 10,618.17
  4. Step 4: Simplify right side
    32,803.05x = 522,478,628.66
  5. Step 5: Solve for x
    x = 522,478,628.66/32,803.05
  6. Step 6: Final answer
    x = 15,927.75

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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.