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Finding the Fourth Proportional to 31,653.66, 43,653.15 and 27,175.98

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Solution

The fourth proportional to 31,653.66, 43,653.15 and 27,175.98 is: 37,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,653.66 : 43,653.15 = 27,175.98 : x
  2. Step 2: Convert to fraction form
    31,653.66/43,653.15 = 27,175.98/x
  3. Step 3: Cross multiply
    31,653.66x = 43,653.15 × 27,175.98
  4. Step 4: Simplify right side
    31,653.66x = 1,186,317,131.34
  5. Step 5: Solve for x
    x = 1,186,317,131.34/31,653.66
  6. Step 6: Final answer
    x = 37,478.04

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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.