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Finding the Fourth Proportional to 54,970.24, 75,858.96 and 29,819.84

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Solution

The fourth proportional to 54,970.24, 75,858.96 and 29,819.84 is: 41,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970.24 : 75,858.96 = 29,819.84 : x
  2. Step 2: Convert to fraction form
    54,970.24/75,858.96 = 29,819.84/x
  3. Step 3: Cross multiply
    54,970.24x = 75,858.96 × 29,819.84
  4. Step 4: Simplify right side
    54,970.24x = 2,262,102,049.77
  5. Step 5: Solve for x
    x = 2,262,102,049.77/54,970.24
  6. Step 6: Final answer
    x = 41,151.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.