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Finding the Fourth Proportional to 42,786.68, 64,126.50 and 20,594.12

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Solution

The fourth proportional to 42,786.68, 64,126.50 and 20,594.12 is: 30,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786.68 : 64,126.50 = 20,594.12 : x
  2. Step 2: Convert to fraction form
    42,786.68/64,126.50 = 20,594.12/x
  3. Step 3: Cross multiply
    42,786.68x = 64,126.50 × 20,594.12
  4. Step 4: Simplify right side
    42,786.68x = 1,320,628,836.18
  5. Step 5: Solve for x
    x = 1,320,628,836.18/42,786.68
  6. Step 6: Final answer
    x = 30,865.42

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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.