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Finding the Fourth Proportional to 31,297.43, 46,953.84 and 9,111

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Solution

The fourth proportional to 31,297.43, 46,953.84 and 9,111 is: 13,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297.43 : 46,953.84 = 9,111 : x
  2. Step 2: Convert to fraction form
    31,297.43/46,953.84 = 9,111/x
  3. Step 3: Cross multiply
    31,297.43x = 46,953.84 × 9,111
  4. Step 4: Simplify right side
    31,297.43x = 427,796,436.24
  5. Step 5: Solve for x
    x = 427,796,436.24/31,297.43
  6. Step 6: Final answer
    x = 13,668.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.