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Finding the Fourth Proportional to 31,969.66, 44,118.18 and 17,822.20

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Solution

The fourth proportional to 31,969.66, 44,118.18 and 17,822.20 is: 24,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.66 : 44,118.18 = 17,822.20 : x
  2. Step 2: Convert to fraction form
    31,969.66/44,118.18 = 17,822.20/x
  3. Step 3: Cross multiply
    31,969.66x = 44,118.18 × 17,822.20
  4. Step 4: Simplify right side
    31,969.66x = 786,283,027.60
  5. Step 5: Solve for x
    x = 786,283,027.60/31,969.66
  6. Step 6: Final answer
    x = 24,594.66

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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.