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Finding the Fourth Proportional to 55,342.94, 82,994.04 and 19,794.65

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Solution

The fourth proportional to 55,342.94, 82,994.04 and 19,794.65 is: 29,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,342.94 : 82,994.04 = 19,794.65 : x
  2. Step 2: Convert to fraction form
    55,342.94/82,994.04 = 19,794.65/x
  3. Step 3: Cross multiply
    55,342.94x = 82,994.04 × 19,794.65
  4. Step 4: Simplify right side
    55,342.94x = 1,642,837,558.92
  5. Step 5: Solve for x
    x = 1,642,837,558.92/55,342.94
  6. Step 6: Final answer
    x = 29,684.68

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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.