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Finding the Fourth Proportional to 34,352.35, 47,410.64 and 20,206.51

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Solution

The fourth proportional to 34,352.35, 47,410.64 and 20,206.51 is: 27,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352.35 : 47,410.64 = 20,206.51 : x
  2. Step 2: Convert to fraction form
    34,352.35/47,410.64 = 20,206.51/x
  3. Step 3: Cross multiply
    34,352.35x = 47,410.64 × 20,206.51
  4. Step 4: Simplify right side
    34,352.35x = 958,003,571.27
  5. Step 5: Solve for x
    x = 958,003,571.27/34,352.35
  6. Step 6: Final answer
    x = 27,887.57

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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.