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Finding the Fourth Proportional to 31,224.38, 43,089.80 and 17,077.19

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Solution

The fourth proportional to 31,224.38, 43,089.80 and 17,077.19 is: 23,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.38 : 43,089.80 = 17,077.19 : x
  2. Step 2: Convert to fraction form
    31,224.38/43,089.80 = 17,077.19/x
  3. Step 3: Cross multiply
    31,224.38x = 43,089.80 × 17,077.19
  4. Step 4: Simplify right side
    31,224.38x = 735,852,400.83
  5. Step 5: Solve for x
    x = 735,852,400.83/31,224.38
  6. Step 6: Final answer
    x = 23,566.60

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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.