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Finding the Fourth Proportional to 30,891.48, 46,338.86 and 9,830.07

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Solution

The fourth proportional to 30,891.48, 46,338.86 and 9,830.07 is: 14,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.48 : 46,338.86 = 9,830.07 : x
  2. Step 2: Convert to fraction form
    30,891.48/46,338.86 = 9,830.07/x
  3. Step 3: Cross multiply
    30,891.48x = 46,338.86 × 9,830.07
  4. Step 4: Simplify right side
    30,891.48x = 455,514,188.37
  5. Step 5: Solve for x
    x = 455,514,188.37/30,891.48
  6. Step 6: Final answer
    x = 14,745.63

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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.