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Finding the Fourth Proportional to 30,146.68, 45,220.02 and 10,414.47

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Solution

The fourth proportional to 30,146.68, 45,220.02 and 10,414.47 is: 15,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.68 : 45,220.02 = 10,414.47 : x
  2. Step 2: Convert to fraction form
    30,146.68/45,220.02 = 10,414.47/x
  3. Step 3: Cross multiply
    30,146.68x = 45,220.02 × 10,414.47
  4. Step 4: Simplify right side
    30,146.68x = 470,942,541.69
  5. Step 5: Solve for x
    x = 470,942,541.69/30,146.68
  6. Step 6: Final answer
    x = 15,621.71

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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.