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Finding the Fourth Proportional to 31,297, 43,189.38 and 17,876.08

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Solution

The fourth proportional to 31,297, 43,189.38 and 17,876.08 is: 24,668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,297 : 43,189.38 = 17,876.08 : x
  2. Step 2: Convert to fraction form
    31,297/43,189.38 = 17,876.08/x
  3. Step 3: Cross multiply
    31,297x = 43,189.38 × 17,876.08
  4. Step 4: Simplify right side
    31,297x = 772,056,812.03
  5. Step 5: Solve for x
    x = 772,056,812.03/31,297
  6. Step 6: Final answer
    x = 24,668.72

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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.