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Finding the Fourth Proportional to 30,769.58, 42,462.16 and 17,341

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Solution

The fourth proportional to 30,769.58, 42,462.16 and 17,341 is: 23,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.58 : 42,462.16 = 17,341 : x
  2. Step 2: Convert to fraction form
    30,769.58/42,462.16 = 17,341/x
  3. Step 3: Cross multiply
    30,769.58x = 42,462.16 × 17,341
  4. Step 4: Simplify right side
    30,769.58x = 736,336,316.56
  5. Step 5: Solve for x
    x = 736,336,316.56/30,769.58
  6. Step 6: Final answer
    x = 23,930.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.