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Finding the Fourth Proportional to 30,224.34, 41,710.08 and 17,480.39

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Solution

The fourth proportional to 30,224.34, 41,710.08 and 17,480.39 is: 24,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,224.34 : 41,710.08 = 17,480.39 : x
  2. Step 2: Convert to fraction form
    30,224.34/41,710.08 = 17,480.39/x
  3. Step 3: Cross multiply
    30,224.34x = 41,710.08 × 17,480.39
  4. Step 4: Simplify right side
    30,224.34x = 729,108,610.01
  5. Step 5: Solve for x
    x = 729,108,610.01/30,224.34
  6. Step 6: Final answer
    x = 24,123.23

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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.