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Finding the Fourth Proportional to 30,541.80, 42,145.70 and 17,964.12

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Solution

The fourth proportional to 30,541.80, 42,145.70 and 17,964.12 is: 24,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.80 : 42,145.70 = 17,964.12 : x
  2. Step 2: Convert to fraction form
    30,541.80/42,145.70 = 17,964.12/x
  3. Step 3: Cross multiply
    30,541.80x = 42,145.70 × 17,964.12
  4. Step 4: Simplify right side
    30,541.80x = 757,110,412.28
  5. Step 5: Solve for x
    x = 757,110,412.28/30,541.80
  6. Step 6: Final answer
    x = 24,789.32

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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.