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Finding the Fourth Proportional to 34,352.60, 47,410.98 and 20,206.76

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Solution

The fourth proportional to 34,352.60, 47,410.98 and 20,206.76 is: 27,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,352.60 : 47,410.98 = 20,206.76 : x
  2. Step 2: Convert to fraction form
    34,352.60/47,410.98 = 20,206.76/x
  3. Step 3: Cross multiply
    34,352.60x = 47,410.98 × 20,206.76
  4. Step 4: Simplify right side
    34,352.60x = 958,022,294.22
  5. Step 5: Solve for x
    x = 958,022,294.22/34,352.60
  6. Step 6: Final answer
    x = 27,887.91

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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.