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Finding the Fourth Proportional to 52,091.46, 71,869.46 and 31,938.26

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Solution

The fourth proportional to 52,091.46, 71,869.46 and 31,938.26 is: 44,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.46 : 71,869.46 = 31,938.26 : x
  2. Step 2: Convert to fraction form
    52,091.46/71,869.46 = 31,938.26/x
  3. Step 3: Cross multiply
    52,091.46x = 71,869.46 × 31,938.26
  4. Step 4: Simplify right side
    52,091.46x = 2,295,384,980.50
  5. Step 5: Solve for x
    x = 2,295,384,980.50/52,091.46
  6. Step 6: Final answer
    x = 44,064.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.