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Finding the Fourth Proportional to 31,967.67, 44,113.77 and 17,817.78

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Solution

The fourth proportional to 31,967.67, 44,113.77 and 17,817.78 is: 24,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,967.67 : 44,113.77 = 17,817.78 : x
  2. Step 2: Convert to fraction form
    31,967.67/44,113.77 = 17,817.78/x
  3. Step 3: Cross multiply
    31,967.67x = 44,113.77 × 17,817.78
  4. Step 4: Simplify right side
    31,967.67x = 786,009,448.83
  5. Step 5: Solve for x
    x = 786,009,448.83/31,967.67
  6. Step 6: Final answer
    x = 24,587.64

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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.