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Finding the Fourth Proportional to 64,251.80, 96,322.26 and 30,926

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Solution

The fourth proportional to 64,251.80, 96,322.26 and 30,926 is: 46,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,251.80 : 96,322.26 = 30,926 : x
  2. Step 2: Convert to fraction form
    64,251.80/96,322.26 = 30,926/x
  3. Step 3: Cross multiply
    64,251.80x = 96,322.26 × 30,926
  4. Step 4: Simplify right side
    64,251.80x = 2,978,862,212.76
  5. Step 5: Solve for x
    x = 2,978,862,212.76/64,251.80
  6. Step 6: Final answer
    x = 46,362.32

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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.