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Finding the Fourth Proportional to 31,005.97, 42,773.21 and 18,421.81

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Solution

The fourth proportional to 31,005.97, 42,773.21 and 18,421.81 is: 25,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.97 : 42,773.21 = 18,421.81 : x
  2. Step 2: Convert to fraction form
    31,005.97/42,773.21 = 18,421.81/x
  3. Step 3: Cross multiply
    31,005.97x = 42,773.21 × 18,421.81
  4. Step 4: Simplify right side
    31,005.97x = 787,959,855.60
  5. Step 5: Solve for x
    x = 787,959,855.60/31,005.97
  6. Step 6: Final answer
    x = 25,413.17

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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.