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Finding the Fourth Proportional to 53,198.34, 73,418.10 and 29,329.68

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Solution

The fourth proportional to 53,198.34, 73,418.10 and 29,329.68 is: 40,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.34 : 73,418.10 = 29,329.68 : x
  2. Step 2: Convert to fraction form
    53,198.34/73,418.10 = 29,329.68/x
  3. Step 3: Cross multiply
    53,198.34x = 73,418.10 × 29,329.68
  4. Step 4: Simplify right side
    53,198.34x = 2,153,329,379.21
  5. Step 5: Solve for x
    x = 2,153,329,379.21/53,198.34
  6. Step 6: Final answer
    x = 40,477.38

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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.