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Finding the Fourth Proportional to 30,152.68, 45,229.71 and 11,441.53

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Solution

The fourth proportional to 30,152.68, 45,229.71 and 11,441.53 is: 17,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.68 : 45,229.71 = 11,441.53 : x
  2. Step 2: Convert to fraction form
    30,152.68/45,229.71 = 11,441.53/x
  3. Step 3: Cross multiply
    30,152.68x = 45,229.71 × 11,441.53
  4. Step 4: Simplify right side
    30,152.68x = 517,497,083.86
  5. Step 5: Solve for x
    x = 517,497,083.86/30,152.68
  6. Step 6: Final answer
    x = 17,162.56

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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.