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Finding the Fourth Proportional to 30,523.65, 45,778.55 and 10,802.21

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Solution

The fourth proportional to 30,523.65, 45,778.55 and 10,802.21 is: 16,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.65 : 45,778.55 = 10,802.21 : x
  2. Step 2: Convert to fraction form
    30,523.65/45,778.55 = 10,802.21/x
  3. Step 3: Cross multiply
    30,523.65x = 45,778.55 × 10,802.21
  4. Step 4: Simplify right side
    30,523.65x = 494,509,227.69
  5. Step 5: Solve for x
    x = 494,509,227.69/30,523.65
  6. Step 6: Final answer
    x = 16,200.85

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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.