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Finding the Fourth Proportional to 31,304.36, 47,015.04 and 27,557.48

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Solution

The fourth proportional to 31,304.36, 47,015.04 and 27,557.48 is: 41,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.36 : 47,015.04 = 27,557.48 : x
  2. Step 2: Convert to fraction form
    31,304.36/47,015.04 = 27,557.48/x
  3. Step 3: Cross multiply
    31,304.36x = 47,015.04 × 27,557.48
  4. Step 4: Simplify right side
    31,304.36x = 1,295,616,024.50
  5. Step 5: Solve for x
    x = 1,295,616,024.50/31,304.36
  6. Step 6: Final answer
    x = 41,387.72

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Why These Related Problems?

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