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Finding the Fourth Proportional to 53,734.70, 80,602.05 and 20,902.70

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Solution

The fourth proportional to 53,734.70, 80,602.05 and 20,902.70 is: 31,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734.70 : 80,602.05 = 20,902.70 : x
  2. Step 2: Convert to fraction form
    53,734.70/80,602.05 = 20,902.70/x
  3. Step 3: Cross multiply
    53,734.70x = 80,602.05 × 20,902.70
  4. Step 4: Simplify right side
    53,734.70x = 1,684,800,470.54
  5. Step 5: Solve for x
    x = 1,684,800,470.54/53,734.70
  6. Step 6: Final answer
    x = 31,354.05

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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.