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Finding the Fourth Proportional to 31,477.14, 47,203.56 and 11,751.48

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Solution

The fourth proportional to 31,477.14, 47,203.56 and 11,751.48 is: 17,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.14 : 47,203.56 = 11,751.48 : x
  2. Step 2: Convert to fraction form
    31,477.14/47,203.56 = 11,751.48/x
  3. Step 3: Cross multiply
    31,477.14x = 47,203.56 × 11,751.48
  4. Step 4: Simplify right side
    31,477.14x = 554,711,691.27
  5. Step 5: Solve for x
    x = 554,711,691.27/31,477.14
  6. Step 6: Final answer
    x = 17,622.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.