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Finding the Fourth Proportional to 31,347.18, 43,259.22 and 17,200.80

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Solution

The fourth proportional to 31,347.18, 43,259.22 and 17,200.80 is: 23,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.18 : 43,259.22 = 17,200.80 : x
  2. Step 2: Convert to fraction form
    31,347.18/43,259.22 = 17,200.80/x
  3. Step 3: Cross multiply
    31,347.18x = 43,259.22 × 17,200.80
  4. Step 4: Simplify right side
    31,347.18x = 744,093,191.38
  5. Step 5: Solve for x
    x = 744,093,191.38/31,347.18
  6. Step 6: Final answer
    x = 23,737.17

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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.