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Finding the Fourth Proportional to 77,152.77, 115,738.47 and 27,222.62

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Solution

The fourth proportional to 77,152.77, 115,738.47 and 27,222.62 is: 40,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.77 : 115,738.47 = 27,222.62 : x
  2. Step 2: Convert to fraction form
    77,152.77/115,738.47 = 27,222.62/x
  3. Step 3: Cross multiply
    77,152.77x = 115,738.47 × 27,222.62
  4. Step 4: Simplify right side
    77,152.77x = 3,150,703,809.50
  5. Step 5: Solve for x
    x = 3,150,703,809.50/77,152.77
  6. Step 6: Final answer
    x = 40,837.21

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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.