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Finding the Fourth Proportional to 31,969.66, 44,118.69 and 17,631.14

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Solution

The fourth proportional to 31,969.66, 44,118.69 and 17,631.14 is: 24,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.66 : 44,118.69 = 17,631.14 : x
  2. Step 2: Convert to fraction form
    31,969.66/44,118.69 = 17,631.14/x
  3. Step 3: Cross multiply
    31,969.66x = 44,118.69 × 17,631.14
  4. Step 4: Simplify right side
    31,969.66x = 777,862,678.74
  5. Step 5: Solve for x
    x = 777,862,678.74/31,969.66
  6. Step 6: Final answer
    x = 24,331.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.