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Finding the Fourth Proportional to 31,557.77, 47,291.55 and 23,172

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Solution

The fourth proportional to 31,557.77, 47,291.55 and 23,172 is: 34,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,557.77 : 47,291.55 = 23,172 : x
  2. Step 2: Convert to fraction form
    31,557.77/47,291.55 = 23,172/x
  3. Step 3: Cross multiply
    31,557.77x = 47,291.55 × 23,172
  4. Step 4: Simplify right side
    31,557.77x = 1,095,839,796.60
  5. Step 5: Solve for x
    x = 1,095,839,796.60/31,557.77
  6. Step 6: Final answer
    x = 34,724.88

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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.