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Finding the Fourth Proportional to 53,857.72, 74,326.60 and 29,983.87

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Solution

The fourth proportional to 53,857.72, 74,326.60 and 29,983.87 is: 41,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.72 : 74,326.60 = 29,983.87 : x
  2. Step 2: Convert to fraction form
    53,857.72/74,326.60 = 29,983.87/x
  3. Step 3: Cross multiply
    53,857.72x = 74,326.60 × 29,983.87
  4. Step 4: Simplify right side
    53,857.72x = 2,228,599,111.94
  5. Step 5: Solve for x
    x = 2,228,599,111.94/53,857.72
  6. Step 6: Final answer
    x = 41,379.38

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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.