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Finding the Fourth Proportional to 31,463.42, 43,420.38 and 17,317.13

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Solution

The fourth proportional to 31,463.42, 43,420.38 and 17,317.13 is: 23,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.42 : 43,420.38 = 17,317.13 : x
  2. Step 2: Convert to fraction form
    31,463.42/43,420.38 = 17,317.13/x
  3. Step 3: Cross multiply
    31,463.42x = 43,420.38 × 17,317.13
  4. Step 4: Simplify right side
    31,463.42x = 751,916,365.11
  5. Step 5: Solve for x
    x = 751,916,365.11/31,463.42
  6. Step 6: Final answer
    x = 23,898.11

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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.