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Finding the Fourth Proportional to 77,263.78, 106,620.33 and 47,450.02

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Solution

The fourth proportional to 77,263.78, 106,620.33 and 47,450.02 is: 65,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263.78 : 106,620.33 = 47,450.02 : x
  2. Step 2: Convert to fraction form
    77,263.78/106,620.33 = 47,450.02/x
  3. Step 3: Cross multiply
    77,263.78x = 106,620.33 × 47,450.02
  4. Step 4: Simplify right side
    77,263.78x = 5,059,136,790.91
  5. Step 5: Solve for x
    x = 5,059,136,790.91/77,263.78
  6. Step 6: Final answer
    x = 65,478.76

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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.