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Finding the Fourth Proportional to 31,995.84, 44,154 and 17,847.84

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Solution

The fourth proportional to 31,995.84, 44,154 and 17,847.84 is: 24,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995.84 : 44,154 = 17,847.84 : x
  2. Step 2: Convert to fraction form
    31,995.84/44,154 = 17,847.84/x
  3. Step 3: Cross multiply
    31,995.84x = 44,154 × 17,847.84
  4. Step 4: Simplify right side
    31,995.84x = 788,053,527.36
  5. Step 5: Solve for x
    x = 788,053,527.36/31,995.84
  6. Step 6: Final answer
    x = 24,629.87

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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.