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Finding the Fourth Proportional to 29,907.38, 41,270.65 and 16,478.33

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Solution

The fourth proportional to 29,907.38, 41,270.65 and 16,478.33 is: 22,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907.38 : 41,270.65 = 16,478.33 : x
  2. Step 2: Convert to fraction form
    29,907.38/41,270.65 = 16,478.33/x
  3. Step 3: Cross multiply
    29,907.38x = 41,270.65 × 16,478.33
  4. Step 4: Simplify right side
    29,907.38x = 680,071,142.47
  5. Step 5: Solve for x
    x = 680,071,142.47/29,907.38
  6. Step 6: Final answer
    x = 22,739.24

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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.