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Finding the Fourth Proportional to 30,889.25, 46,333.36 and 9,830.56

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Solution

The fourth proportional to 30,889.25, 46,333.36 and 9,830.56 is: 14,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.25 : 46,333.36 = 9,830.56 : x
  2. Step 2: Convert to fraction form
    30,889.25/46,333.36 = 9,830.56/x
  3. Step 3: Cross multiply
    30,889.25x = 46,333.36 × 9,830.56
  4. Step 4: Simplify right side
    30,889.25x = 455,482,826.33
  5. Step 5: Solve for x
    x = 455,482,826.33/30,889.25
  6. Step 6: Final answer
    x = 14,745.68

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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.