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Finding the Fourth Proportional to 42,974.66, 64,475.19 and 20,514.00

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Solution

The fourth proportional to 42,974.66, 64,475.19 and 20,514.00 is: 30,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,974.66 : 64,475.19 = 20,514.00 : x
  2. Step 2: Convert to fraction form
    42,974.66/64,475.19 = 20,514.00/x
  3. Step 3: Cross multiply
    42,974.66x = 64,475.19 × 20,514.00
  4. Step 4: Simplify right side
    42,974.66x = 1,322,644,168.55
  5. Step 5: Solve for x
    x = 1,322,644,168.55/42,974.66
  6. Step 6: Final answer
    x = 30,777.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.