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Finding the Fourth Proportional to 34,195.07, 47,197.07 and 20,052.47

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Solution

The fourth proportional to 34,195.07, 47,197.07 and 20,052.47 is: 27,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.07 : 47,197.07 = 20,052.47 : x
  2. Step 2: Convert to fraction form
    34,195.07/47,197.07 = 20,052.47/x
  3. Step 3: Cross multiply
    34,195.07x = 47,197.07 × 20,052.47
  4. Step 4: Simplify right side
    34,195.07x = 946,417,494.02
  5. Step 5: Solve for x
    x = 946,417,494.02/34,195.07
  6. Step 6: Final answer
    x = 27,677.02

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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.