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Finding the Fourth Proportional to 30,151.68, 45,228.21 and 11,440.53

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Solution

The fourth proportional to 30,151.68, 45,228.21 and 11,440.53 is: 17,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.68 : 45,228.21 = 11,440.53 : x
  2. Step 2: Convert to fraction form
    30,151.68/45,228.21 = 11,440.53/x
  3. Step 3: Cross multiply
    30,151.68x = 45,228.21 × 11,440.53
  4. Step 4: Simplify right side
    30,151.68x = 517,434,636.15
  5. Step 5: Solve for x
    x = 517,434,636.15/30,151.68
  6. Step 6: Final answer
    x = 17,161.05

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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.