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Finding the Fourth Proportional to 30,891.75, 46,337.16 and 9,833.07

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Solution

The fourth proportional to 30,891.75, 46,337.16 and 9,833.07 is: 14,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.75 : 46,337.16 = 9,833.07 : x
  2. Step 2: Convert to fraction form
    30,891.75/46,337.16 = 9,833.07/x
  3. Step 3: Cross multiply
    30,891.75x = 46,337.16 × 9,833.07
  4. Step 4: Simplify right side
    30,891.75x = 455,636,537.88
  5. Step 5: Solve for x
    x = 455,636,537.88/30,891.75
  6. Step 6: Final answer
    x = 14,749.46

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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.