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Finding the Fourth Proportional to 101,941.97, 152,912.96 and 31,827.29

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Solution

The fourth proportional to 101,941.97, 152,912.96 and 31,827.29 is: 47,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941.97 : 152,912.96 = 31,827.29 : x
  2. Step 2: Convert to fraction form
    101,941.97/152,912.96 = 31,827.29/x
  3. Step 3: Cross multiply
    101,941.97x = 152,912.96 × 31,827.29
  4. Step 4: Simplify right side
    101,941.97x = 4,866,804,963.54
  5. Step 5: Solve for x
    x = 4,866,804,963.54/101,941.97
  6. Step 6: Final answer
    x = 47,740.94

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1.5x scale

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.