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Finding the Fourth Proportional to 31,634.65, 43,653.62 and 17,486.38

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Solution

The fourth proportional to 31,634.65, 43,653.62 and 17,486.38 is: 24,129.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.65 : 43,653.62 = 17,486.38 : x
  2. Step 2: Convert to fraction form
    31,634.65/43,653.62 = 17,486.38/x
  3. Step 3: Cross multiply
    31,634.65x = 43,653.62 × 17,486.38
  4. Step 4: Simplify right side
    31,634.65x = 763,343,482.00
  5. Step 5: Solve for x
    x = 763,343,482.00/31,634.65
  6. Step 6: Final answer
    x = 24,129.98

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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.