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Finding the Fourth Proportional to 112,927, 169,400.31 and 29,821

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Solution

The fourth proportional to 112,927, 169,400.31 and 29,821 is: 44,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,927 : 169,400.31 = 29,821 : x
  2. Step 2: Convert to fraction form
    112,927/169,400.31 = 29,821/x
  3. Step 3: Cross multiply
    112,927x = 169,400.31 × 29,821
  4. Step 4: Simplify right side
    112,927x = 5,051,686,644.51
  5. Step 5: Solve for x
    x = 5,051,686,644.51/112,927
  6. Step 6: Final answer
    x = 44,734.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.