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Finding the Fourth Proportional to 31,497.75, 43,466.90 and 17,350.90

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Solution

The fourth proportional to 31,497.75, 43,466.90 and 17,350.90 is: 23,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.75 : 43,466.90 = 17,350.90 : x
  2. Step 2: Convert to fraction form
    31,497.75/43,466.90 = 17,350.90/x
  3. Step 3: Cross multiply
    31,497.75x = 43,466.90 × 17,350.90
  4. Step 4: Simplify right side
    31,497.75x = 754,189,639.79
  5. Step 5: Solve for x
    x = 754,189,639.79/31,497.75
  6. Step 6: Final answer
    x = 23,944.24

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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.