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Finding the Fourth Proportional to 31,103.10, 46,615.77 and 24,503.22

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Solution

The fourth proportional to 31,103.10, 46,615.77 and 24,503.22 is: 36,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.10 : 46,615.77 = 24,503.22 : x
  2. Step 2: Convert to fraction form
    31,103.10/46,615.77 = 24,503.22/x
  3. Step 3: Cross multiply
    31,103.10x = 46,615.77 × 24,503.22
  4. Step 4: Simplify right side
    31,103.10x = 1,142,236,467.78
  5. Step 5: Solve for x
    x = 1,142,236,467.78/31,103.10
  6. Step 6: Final answer
    x = 36,724.20

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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.