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Finding the Fourth Proportional to 34,209.90, 47,209.68 and 20,062.80

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Solution

The fourth proportional to 34,209.90, 47,209.68 and 20,062.80 is: 27,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209.90 : 47,209.68 = 20,062.80 : x
  2. Step 2: Convert to fraction form
    34,209.90/47,209.68 = 20,062.80/x
  3. Step 3: Cross multiply
    34,209.90x = 47,209.68 × 20,062.80
  4. Step 4: Simplify right side
    34,209.90x = 947,158,367.90
  5. Step 5: Solve for x
    x = 947,158,367.90/34,209.90
  6. Step 6: Final answer
    x = 27,686.67

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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.