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Finding the Fourth Proportional to 31,761.75, 43,824.16 and 18,330.16

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Solution

The fourth proportional to 31,761.75, 43,824.16 and 18,330.16 is: 25,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.75 : 43,824.16 = 18,330.16 : x
  2. Step 2: Convert to fraction form
    31,761.75/43,824.16 = 18,330.16/x
  3. Step 3: Cross multiply
    31,761.75x = 43,824.16 × 18,330.16
  4. Step 4: Simplify right side
    31,761.75x = 803,303,773.01
  5. Step 5: Solve for x
    x = 803,303,773.01/31,761.75
  6. Step 6: Final answer
    x = 25,291.55

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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.