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Finding the Fourth Proportional to 42,851.56, 64,268.70 and 11,684.20

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Solution

The fourth proportional to 42,851.56, 64,268.70 and 11,684.20 is: 17,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.56 : 64,268.70 = 11,684.20 : x
  2. Step 2: Convert to fraction form
    42,851.56/64,268.70 = 11,684.20/x
  3. Step 3: Cross multiply
    42,851.56x = 64,268.70 × 11,684.20
  4. Step 4: Simplify right side
    42,851.56x = 750,928,344.54
  5. Step 5: Solve for x
    x = 750,928,344.54/42,851.56
  6. Step 6: Final answer
    x = 17,523.94

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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.