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Finding the Fourth Proportional to 31,846.92, 43,946.78 and 17,699.32

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Solution

The fourth proportional to 31,846.92, 43,946.78 and 17,699.32 is: 24,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.92 : 43,946.78 = 17,699.32 : x
  2. Step 2: Convert to fraction form
    31,846.92/43,946.78 = 17,699.32/x
  3. Step 3: Cross multiply
    31,846.92x = 43,946.78 × 17,699.32
  4. Step 4: Simplify right side
    31,846.92x = 777,828,122.19
  5. Step 5: Solve for x
    x = 777,828,122.19/31,846.92
  6. Step 6: Final answer
    x = 24,423.97

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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.