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Finding the Fourth Proportional to 70,779.24, 106,015.74 and 33,283.14

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Solution

The fourth proportional to 70,779.24, 106,015.74 and 33,283.14 is: 49,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,779.24 : 106,015.74 = 33,283.14 : x
  2. Step 2: Convert to fraction form
    70,779.24/106,015.74 = 33,283.14/x
  3. Step 3: Cross multiply
    70,779.24x = 106,015.74 × 33,283.14
  4. Step 4: Simplify right side
    70,779.24x = 3,528,536,716.62
  5. Step 5: Solve for x
    x = 3,528,536,716.62/70,779.24
  6. Step 6: Final answer
    x = 49,852.71

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