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Finding the Fourth Proportional to 30,501.50, 42,092.06 and 17,072.75

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Solution

The fourth proportional to 30,501.50, 42,092.06 and 17,072.75 is: 23,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501.50 : 42,092.06 = 17,072.75 : x
  2. Step 2: Convert to fraction form
    30,501.50/42,092.06 = 17,072.75/x
  3. Step 3: Cross multiply
    30,501.50x = 42,092.06 × 17,072.75
  4. Step 4: Simplify right side
    30,501.50x = 718,627,217.37
  5. Step 5: Solve for x
    x = 718,627,217.37/30,501.50
  6. Step 6: Final answer
    x = 23,560.39

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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.