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Finding the Fourth Proportional to 31,277.80, 43,161.42 and 17,129.80

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Solution

The fourth proportional to 31,277.80, 43,161.42 and 17,129.80 is: 23,638.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.80 : 43,161.42 = 17,129.80 : x
  2. Step 2: Convert to fraction form
    31,277.80/43,161.42 = 17,129.80/x
  3. Step 3: Cross multiply
    31,277.80x = 43,161.42 × 17,129.80
  4. Step 4: Simplify right side
    31,277.80x = 739,346,492.32
  5. Step 5: Solve for x
    x = 739,346,492.32/31,277.80
  6. Step 6: Final answer
    x = 23,638.06

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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.