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Finding the Fourth Proportional to 31,804.34, 47,866.05 and 23,947.56

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Solution

The fourth proportional to 31,804.34, 47,866.05 and 23,947.56 is: 36,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.34 : 47,866.05 = 23,947.56 : x
  2. Step 2: Convert to fraction form
    31,804.34/47,866.05 = 23,947.56/x
  3. Step 3: Cross multiply
    31,804.34x = 47,866.05 × 23,947.56
  4. Step 4: Simplify right side
    31,804.34x = 1,146,275,104.34
  5. Step 5: Solve for x
    x = 1,146,275,104.34/31,804.34
  6. Step 6: Final answer
    x = 36,041.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.