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Finding the Fourth Proportional to 30,493.89, 45,745.24 and 9,435.71

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Solution

The fourth proportional to 30,493.89, 45,745.24 and 9,435.71 is: 14,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.89 : 45,745.24 = 9,435.71 : x
  2. Step 2: Convert to fraction form
    30,493.89/45,745.24 = 9,435.71/x
  3. Step 3: Cross multiply
    30,493.89x = 45,745.24 × 9,435.71
  4. Step 4: Simplify right side
    30,493.89x = 431,638,818.52
  5. Step 5: Solve for x
    x = 431,638,818.52/30,493.89
  6. Step 6: Final answer
    x = 14,154.93

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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.