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Finding the Fourth Proportional to 30,919.50, 46,382.89 and 9,852.21

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Solution

The fourth proportional to 30,919.50, 46,382.89 and 9,852.21 is: 14,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.50 : 46,382.89 = 9,852.21 : x
  2. Step 2: Convert to fraction form
    30,919.50/46,382.89 = 9,852.21/x
  3. Step 3: Cross multiply
    30,919.50x = 46,382.89 × 9,852.21
  4. Step 4: Simplify right side
    30,919.50x = 456,973,972.69
  5. Step 5: Solve for x
    x = 456,973,972.69/30,919.50
  6. Step 6: Final answer
    x = 14,779.47

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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.