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Finding the Fourth Proportional to 77,161.89, 106,519.81 and 58,048.96

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Solution

The fourth proportional to 77,161.89, 106,519.81 and 58,048.96 is: 80,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161.89 : 106,519.81 = 58,048.96 : x
  2. Step 2: Convert to fraction form
    77,161.89/106,519.81 = 58,048.96/x
  3. Step 3: Cross multiply
    77,161.89x = 106,519.81 × 58,048.96
  4. Step 4: Simplify right side
    77,161.89x = 6,183,363,778.48
  5. Step 5: Solve for x
    x = 6,183,363,778.48/77,161.89
  6. Step 6: Final answer
    x = 80,134.94

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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.