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Finding the Fourth Proportional to 53,198.76, 73,414.80 and 29,326.38

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Solution

The fourth proportional to 53,198.76, 73,414.80 and 29,326.38 is: 40,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.76 : 73,414.80 = 29,326.38 : x
  2. Step 2: Convert to fraction form
    53,198.76/73,414.80 = 29,326.38/x
  3. Step 3: Cross multiply
    53,198.76x = 73,414.80 × 29,326.38
  4. Step 4: Simplify right side
    53,198.76x = 2,152,990,322.42
  5. Step 5: Solve for x
    x = 2,152,990,322.42/53,198.76
  6. Step 6: Final answer
    x = 40,470.69

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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.