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Finding the Fourth Proportional to 30,963.88, 42,708.38 and 19,033.80

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Solution

The fourth proportional to 30,963.88, 42,708.38 and 19,033.80 is: 26,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,963.88 : 42,708.38 = 19,033.80 : x
  2. Step 2: Convert to fraction form
    30,963.88/42,708.38 = 19,033.80/x
  3. Step 3: Cross multiply
    30,963.88x = 42,708.38 × 19,033.80
  4. Step 4: Simplify right side
    30,963.88x = 812,902,763.24
  5. Step 5: Solve for x
    x = 812,902,763.24/30,963.88
  6. Step 6: Final answer
    x = 26,253.26

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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.