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Finding the Fourth Proportional to 121,048, 181,601.16 and 37,942

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Solution

The fourth proportional to 121,048, 181,601.16 and 37,942 is: 56,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,048 : 181,601.16 = 37,942 : x
  2. Step 2: Convert to fraction form
    121,048/181,601.16 = 37,942/x
  3. Step 3: Cross multiply
    121,048x = 181,601.16 × 37,942
  4. Step 4: Simplify right side
    121,048x = 6,890,311,212.72
  5. Step 5: Solve for x
    x = 6,890,311,212.72/121,048
  6. Step 6: Final answer
    x = 56,922.14

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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.