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Finding the Fourth Proportional to 42,857, 64,327.07 and 20,686.00

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Solution

The fourth proportional to 42,857, 64,327.07 and 20,686.00 is: 31,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,857 : 64,327.07 = 20,686.00 : x
  2. Step 2: Convert to fraction form
    42,857/64,327.07 = 20,686.00/x
  3. Step 3: Cross multiply
    42,857x = 64,327.07 × 20,686.00
  4. Step 4: Simplify right side
    42,857x = 1,330,669,344.95
  5. Step 5: Solve for x
    x = 1,330,669,344.95/42,857
  6. Step 6: Final answer
    x = 31,049.05

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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.