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Finding the Fourth Proportional to 49,858.93, 74,782.93 and 24,894.33

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Solution

The fourth proportional to 49,858.93, 74,782.93 and 24,894.33 is: 37,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858.93 : 74,782.93 = 24,894.33 : x
  2. Step 2: Convert to fraction form
    49,858.93/74,782.93 = 24,894.33/x
  3. Step 3: Cross multiply
    49,858.93x = 74,782.93 × 24,894.33
  4. Step 4: Simplify right side
    49,858.93x = 1,861,670,937.79
  5. Step 5: Solve for x
    x = 1,861,670,937.79/49,858.93
  6. Step 6: Final answer
    x = 37,338.77

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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.