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Finding the Fourth Proportional to 31,457.98, 43,413.81 and 18,031.48

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Solution

The fourth proportional to 31,457.98, 43,413.81 and 18,031.48 is: 24,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.98 : 43,413.81 = 18,031.48 : x
  2. Step 2: Convert to fraction form
    31,457.98/43,413.81 = 18,031.48/x
  3. Step 3: Cross multiply
    31,457.98x = 43,413.81 × 18,031.48
  4. Step 4: Simplify right side
    31,457.98x = 782,815,246.74
  5. Step 5: Solve for x
    x = 782,815,246.74/31,457.98
  6. Step 6: Final answer
    x = 24,884.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.