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Finding the Fourth Proportional to 31,304.76, 46,941.81 and 15,491.54

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Solution

The fourth proportional to 31,304.76, 46,941.81 and 15,491.54 is: 23,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.76 : 46,941.81 = 15,491.54 : x
  2. Step 2: Convert to fraction form
    31,304.76/46,941.81 = 15,491.54/x
  3. Step 3: Cross multiply
    31,304.76x = 46,941.81 × 15,491.54
  4. Step 4: Simplify right side
    31,304.76x = 727,200,692.58
  5. Step 5: Solve for x
    x = 727,200,692.58/31,304.76
  6. Step 6: Final answer
    x = 23,229.72

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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.