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Finding the Fourth Proportional to 30,709, 42,378.42 and 17,461

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Solution

The fourth proportional to 30,709, 42,378.42 and 17,461 is: 24,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709 : 42,378.42 = 17,461 : x
  2. Step 2: Convert to fraction form
    30,709/42,378.42 = 17,461/x
  3. Step 3: Cross multiply
    30,709x = 42,378.42 × 17,461
  4. Step 4: Simplify right side
    30,709x = 739,969,591.62
  5. Step 5: Solve for x
    x = 739,969,591.62/30,709
  6. Step 6: Final answer
    x = 24,096.18

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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.