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Finding the Fourth Proportional to 75,477.65, 104,143.25 and 41,942.93

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Solution

The fourth proportional to 75,477.65, 104,143.25 and 41,942.93 is: 57,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,477.65 : 104,143.25 = 41,942.93 : x
  2. Step 2: Convert to fraction form
    75,477.65/104,143.25 = 41,942.93/x
  3. Step 3: Cross multiply
    75,477.65x = 104,143.25 × 41,942.93
  4. Step 4: Simplify right side
    75,477.65x = 4,368,072,628.86
  5. Step 5: Solve for x
    x = 4,368,072,628.86/75,477.65
  6. Step 6: Final answer
    x = 57,872.40

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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.