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Finding the Fourth Proportional to 30,770.13, 42,462.78 and 17,341.88

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Solution

The fourth proportional to 30,770.13, 42,462.78 and 17,341.88 is: 23,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,770.13 : 42,462.78 = 17,341.88 : x
  2. Step 2: Convert to fraction form
    30,770.13/42,462.78 = 17,341.88/x
  3. Step 3: Cross multiply
    30,770.13x = 42,462.78 × 17,341.88
  4. Step 4: Simplify right side
    30,770.13x = 736,384,222.91
  5. Step 5: Solve for x
    x = 736,384,222.91/30,770.13
  6. Step 6: Final answer
    x = 23,931.79

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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.