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Finding the Fourth Proportional to 30,841.98, 46,277.31 and 9,785.34

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Solution

The fourth proportional to 30,841.98, 46,277.31 and 9,785.34 is: 14,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.98 : 46,277.31 = 9,785.34 : x
  2. Step 2: Convert to fraction form
    30,841.98/46,277.31 = 9,785.34/x
  3. Step 3: Cross multiply
    30,841.98x = 46,277.31 × 9,785.34
  4. Step 4: Simplify right side
    30,841.98x = 452,839,212.64
  5. Step 5: Solve for x
    x = 452,839,212.64/30,841.98
  6. Step 6: Final answer
    x = 14,682.56

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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.