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Finding the Fourth Proportional to 30,970.96, 46,449.42 and 8,779.24

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Solution

The fourth proportional to 30,970.96, 46,449.42 and 8,779.24 is: 13,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.96 : 46,449.42 = 8,779.24 : x
  2. Step 2: Convert to fraction form
    30,970.96/46,449.42 = 8,779.24/x
  3. Step 3: Cross multiply
    30,970.96x = 46,449.42 × 8,779.24
  4. Step 4: Simplify right side
    30,970.96x = 407,790,606.04
  5. Step 5: Solve for x
    x = 407,790,606.04/30,970.96
  6. Step 6: Final answer
    x = 13,166.87

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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.