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Finding the Fourth Proportional to 30,535.66, 42,142.30 and 17,109.30

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Solution

The fourth proportional to 30,535.66, 42,142.30 and 17,109.30 is: 23,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.66 : 42,142.30 = 17,109.30 : x
  2. Step 2: Convert to fraction form
    30,535.66/42,142.30 = 17,109.30/x
  3. Step 3: Cross multiply
    30,535.66x = 42,142.30 × 17,109.30
  4. Step 4: Simplify right side
    30,535.66x = 721,025,253.39
  5. Step 5: Solve for x
    x = 721,025,253.39/30,535.66
  6. Step 6: Final answer
    x = 23,612.56

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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.