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Finding the Fourth Proportional to 34,203.12, 47,200.50 and 20,056.20

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Solution

The fourth proportional to 34,203.12, 47,200.50 and 20,056.20 is: 27,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,203.12 : 47,200.50 = 20,056.20 : x
  2. Step 2: Convert to fraction form
    34,203.12/47,200.50 = 20,056.20/x
  3. Step 3: Cross multiply
    34,203.12x = 47,200.50 × 20,056.20
  4. Step 4: Simplify right side
    34,203.12x = 946,662,668.10
  5. Step 5: Solve for x
    x = 946,662,668.10/34,203.12
  6. Step 6: Final answer
    x = 27,677.67

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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.