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Finding the Fourth Proportional to 47,103, 65,019.20 and 31,192.60

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Solution

The fourth proportional to 47,103, 65,019.20 and 31,192.60 is: 43,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103 : 65,019.20 = 31,192.60 : x
  2. Step 2: Convert to fraction form
    47,103/65,019.20 = 31,192.60/x
  3. Step 3: Cross multiply
    47,103x = 65,019.20 × 31,192.60
  4. Step 4: Simplify right side
    47,103x = 2,028,117,897.92
  5. Step 5: Solve for x
    x = 2,028,117,897.92/47,103
  6. Step 6: Final answer
    x = 43,057.09

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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.