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Finding the Fourth Proportional to 31,261.34, 43,141.71 and 17,114.19

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Solution

The fourth proportional to 31,261.34, 43,141.71 and 17,114.19 is: 23,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.34 : 43,141.71 = 17,114.19 : x
  2. Step 2: Convert to fraction form
    31,261.34/43,141.71 = 17,114.19/x
  3. Step 3: Cross multiply
    31,261.34x = 43,141.71 × 17,114.19
  4. Step 4: Simplify right side
    31,261.34x = 738,335,421.86
  5. Step 5: Solve for x
    x = 738,335,421.86/31,261.34
  6. Step 6: Final answer
    x = 23,618.17

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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.