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Finding the Fourth Proportional to 30,462.18, 45,694.22 and 8,275.47

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Solution

The fourth proportional to 30,462.18, 45,694.22 and 8,275.47 is: 12,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.18 : 45,694.22 = 8,275.47 : x
  2. Step 2: Convert to fraction form
    30,462.18/45,694.22 = 8,275.47/x
  3. Step 3: Cross multiply
    30,462.18x = 45,694.22 × 8,275.47
  4. Step 4: Simplify right side
    30,462.18x = 378,141,105.41
  5. Step 5: Solve for x
    x = 378,141,105.41/30,462.18
  6. Step 6: Final answer
    x = 12,413.46

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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.