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Finding the Fourth Proportional to 30,643.20, 42,287.64 and 17,905.20

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Solution

The fourth proportional to 30,643.20, 42,287.64 and 17,905.20 is: 24,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.20 : 42,287.64 = 17,905.20 : x
  2. Step 2: Convert to fraction form
    30,643.20/42,287.64 = 17,905.20/x
  3. Step 3: Cross multiply
    30,643.20x = 42,287.64 × 17,905.20
  4. Step 4: Simplify right side
    30,643.20x = 757,168,651.73
  5. Step 5: Solve for x
    x = 757,168,651.73/30,643.20
  6. Step 6: Final answer
    x = 24,709.19

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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.