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Finding the Fourth Proportional to 34,349.85, 47,407.19 and 20,204.01

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Solution

The fourth proportional to 34,349.85, 47,407.19 and 20,204.01 is: 27,884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,349.85 : 47,407.19 = 20,204.01 : x
  2. Step 2: Convert to fraction form
    34,349.85/47,407.19 = 20,204.01/x
  3. Step 3: Cross multiply
    34,349.85x = 47,407.19 × 20,204.01
  4. Step 4: Simplify right side
    34,349.85x = 957,815,239.81
  5. Step 5: Solve for x
    x = 957,815,239.81/34,349.85
  6. Step 6: Final answer
    x = 27,884.12

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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.