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Finding the Fourth Proportional to 55,766.70, 83,650.05 and 52,048.80

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Solution

The fourth proportional to 55,766.70, 83,650.05 and 52,048.80 is: 78,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,766.70 : 83,650.05 = 52,048.80 : x
  2. Step 2: Convert to fraction form
    55,766.70/83,650.05 = 52,048.80/x
  3. Step 3: Cross multiply
    55,766.70x = 83,650.05 × 52,048.80
  4. Step 4: Simplify right side
    55,766.70x = 4,353,884,722.44
  5. Step 5: Solve for x
    x = 4,353,884,722.44/55,766.70
  6. Step 6: Final answer
    x = 78,073.20

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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.