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Finding the Fourth Proportional to 53,539.70, 80,212.35 and 32,738.90

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Solution

The fourth proportional to 53,539.70, 80,212.35 and 32,738.90 is: 49,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,539.70 : 80,212.35 = 32,738.90 : x
  2. Step 2: Convert to fraction form
    53,539.70/80,212.35 = 32,738.90/x
  3. Step 3: Cross multiply
    53,539.70x = 80,212.35 × 32,738.90
  4. Step 4: Simplify right side
    53,539.70x = 2,626,064,105.42
  5. Step 5: Solve for x
    x = 2,626,064,105.42/53,539.70
  6. Step 6: Final answer
    x = 49,048.91

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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.