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Finding the Fourth Proportional to 73,952.94, 102,055.05 and 40,418.94

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Solution

The fourth proportional to 73,952.94, 102,055.05 and 40,418.94 is: 55,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,952.94 : 102,055.05 = 40,418.94 : x
  2. Step 2: Convert to fraction form
    73,952.94/102,055.05 = 40,418.94/x
  3. Step 3: Cross multiply
    73,952.94x = 102,055.05 × 40,418.94
  4. Step 4: Simplify right side
    73,952.94x = 4,124,956,942.65
  5. Step 5: Solve for x
    x = 4,124,956,942.65/73,952.94
  6. Step 6: Final answer
    x = 55,778.13

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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.