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Finding the Fourth Proportional to 34,322.68, 47,359.47 and 20,178.19

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Solution

The fourth proportional to 34,322.68, 47,359.47 and 20,178.19 is: 27,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,322.68 : 47,359.47 = 20,178.19 : x
  2. Step 2: Convert to fraction form
    34,322.68/47,359.47 = 20,178.19/x
  3. Step 3: Cross multiply
    34,322.68x = 47,359.47 × 20,178.19
  4. Step 4: Simplify right side
    34,322.68x = 955,628,383.96
  5. Step 5: Solve for x
    x = 955,628,383.96/34,322.68
  6. Step 6: Final answer
    x = 27,842.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.