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Finding the Fourth Proportional to 77,594.82, 116,450.82 and 62,198.34

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Solution

The fourth proportional to 77,594.82, 116,450.82 and 62,198.34 is: 93,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,594.82 : 116,450.82 = 62,198.34 : x
  2. Step 2: Convert to fraction form
    77,594.82/116,450.82 = 62,198.34/x
  3. Step 3: Cross multiply
    77,594.82x = 116,450.82 × 62,198.34
  4. Step 4: Simplify right side
    77,594.82x = 7,243,047,695.64
  5. Step 5: Solve for x
    x = 7,243,047,695.64/77,594.82
  6. Step 6: Final answer
    x = 93,344.47

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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.