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Finding the Fourth Proportional to 77,219.33, 106,524.70 and 48,573.77

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Solution

The fourth proportional to 77,219.33, 106,524.70 and 48,573.77 is: 67,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,219.33 : 106,524.70 = 48,573.77 : x
  2. Step 2: Convert to fraction form
    77,219.33/106,524.70 = 48,573.77/x
  3. Step 3: Cross multiply
    77,219.33x = 106,524.70 × 48,573.77
  4. Step 4: Simplify right side
    77,219.33x = 5,174,305,623.06
  5. Step 5: Solve for x
    x = 5,174,305,623.06/77,219.33
  6. Step 6: Final answer
    x = 67,007.91

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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.