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Finding the Fourth Proportional to 37,309.50, 51,487.11 and 20,542.50

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Solution

The fourth proportional to 37,309.50, 51,487.11 and 20,542.50 is: 28,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,309.50 : 51,487.11 = 20,542.50 : x
  2. Step 2: Convert to fraction form
    37,309.50/51,487.11 = 20,542.50/x
  3. Step 3: Cross multiply
    37,309.50x = 51,487.11 × 20,542.50
  4. Step 4: Simplify right side
    37,309.50x = 1,057,673,957.18
  5. Step 5: Solve for x
    x = 1,057,673,957.18/37,309.50
  6. Step 6: Final answer
    x = 28,348.65

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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.