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Finding the Fourth Proportional to 34,477.82, 47,582.16 and 20,142.26

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Solution

The fourth proportional to 34,477.82, 47,582.16 and 20,142.26 is: 27,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477.82 : 47,582.16 = 20,142.26 : x
  2. Step 2: Convert to fraction form
    34,477.82/47,582.16 = 20,142.26/x
  3. Step 3: Cross multiply
    34,477.82x = 47,582.16 × 20,142.26
  4. Step 4: Simplify right side
    34,477.82x = 958,412,238.08
  5. Step 5: Solve for x
    x = 958,412,238.08/34,477.82
  6. Step 6: Final answer
    x = 27,797.94

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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.