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Finding the Fourth Proportional to 31,969.57, 44,117.00 and 17,630.00

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Solution

The fourth proportional to 31,969.57, 44,117.00 and 17,630.00 is: 24,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.57 : 44,117.00 = 17,630.00 : x
  2. Step 2: Convert to fraction form
    31,969.57/44,117.00 = 17,630.00/x
  3. Step 3: Cross multiply
    31,969.57x = 44,117.00 × 17,630.00
  4. Step 4: Simplify right side
    31,969.57x = 777,782,814.86
  5. Step 5: Solve for x
    x = 777,782,814.86/31,969.57
  6. Step 6: Final answer
    x = 24,328.85

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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.