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Finding the Fourth Proportional to 31,969.77, 44,117.28 and 17,630.21

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Solution

The fourth proportional to 31,969.77, 44,117.28 and 17,630.21 is: 24,329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.77 : 44,117.28 = 17,630.21 : x
  2. Step 2: Convert to fraction form
    31,969.77/44,117.28 = 17,630.21/x
  3. Step 3: Cross multiply
    31,969.77x = 44,117.28 × 17,630.21
  4. Step 4: Simplify right side
    31,969.77x = 777,796,712.58
  5. Step 5: Solve for x
    x = 777,796,712.58/31,969.77
  6. Step 6: Final answer
    x = 24,329.13

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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.