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Finding the Fourth Proportional to 31,630.84, 43,646.10 and 18,019.24

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Solution

The fourth proportional to 31,630.84, 43,646.10 and 18,019.24 is: 24,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.84 : 43,646.10 = 18,019.24 : x
  2. Step 2: Convert to fraction form
    31,630.84/43,646.10 = 18,019.24/x
  3. Step 3: Cross multiply
    31,630.84x = 43,646.10 × 18,019.24
  4. Step 4: Simplify right side
    31,630.84x = 786,469,550.96
  5. Step 5: Solve for x
    x = 786,469,550.96/31,630.84
  6. Step 6: Final answer
    x = 24,864.01

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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.