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Finding the Fourth Proportional to 46,196.42, 63,728.13 and 29,838

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Solution

The fourth proportional to 46,196.42, 63,728.13 and 29,838 is: 41,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,196.42 : 63,728.13 = 29,838 : x
  2. Step 2: Convert to fraction form
    46,196.42/63,728.13 = 29,838/x
  3. Step 3: Cross multiply
    46,196.42x = 63,728.13 × 29,838
  4. Step 4: Simplify right side
    46,196.42x = 1,901,519,942.94
  5. Step 5: Solve for x
    x = 1,901,519,942.94/46,196.42
  6. Step 6: Final answer
    x = 41,161.63

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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.