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Finding the Fourth Proportional to 53,751, 74,175.84 and 29,879.76

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Solution

The fourth proportional to 53,751, 74,175.84 and 29,879.76 is: 41,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751 : 74,175.84 = 29,879.76 : x
  2. Step 2: Convert to fraction form
    53,751/74,175.84 = 29,879.76/x
  3. Step 3: Cross multiply
    53,751x = 74,175.84 × 29,879.76
  4. Step 4: Simplify right side
    53,751x = 2,216,356,297.00
  5. Step 5: Solve for x
    x = 2,216,356,297.00/53,751
  6. Step 6: Final answer
    x = 41,233.77

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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.