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Finding the Fourth Proportional to 30,771.77, 42,460.38 and 17,342.80

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Solution

The fourth proportional to 30,771.77, 42,460.38 and 17,342.80 is: 23,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.77 : 42,460.38 = 17,342.80 : x
  2. Step 2: Convert to fraction form
    30,771.77/42,460.38 = 17,342.80/x
  3. Step 3: Cross multiply
    30,771.77x = 42,460.38 × 17,342.80
  4. Step 4: Simplify right side
    30,771.77x = 736,381,663.63
  5. Step 5: Solve for x
    x = 736,381,663.63/30,771.77
  6. Step 6: Final answer
    x = 23,930.43

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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.