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Finding the Fourth Proportional to 27,406.92, 37,779.30 and 22,362.24

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Solution

The fourth proportional to 27,406.92, 37,779.30 and 22,362.24 is: 30,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.92 : 37,779.30 = 22,362.24 : x
  2. Step 2: Convert to fraction form
    27,406.92/37,779.30 = 22,362.24/x
  3. Step 3: Cross multiply
    27,406.92x = 37,779.30 × 22,362.24
  4. Step 4: Simplify right side
    27,406.92x = 844,829,773.63
  5. Step 5: Solve for x
    x = 844,829,773.63/27,406.92
  6. Step 6: Final answer
    x = 30,825.42

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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.