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Finding the Fourth Proportional to 30,631.65, 45,918.30 and 9,840.57

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Solution

The fourth proportional to 30,631.65, 45,918.30 and 9,840.57 is: 14,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.65 : 45,918.30 = 9,840.57 : x
  2. Step 2: Convert to fraction form
    30,631.65/45,918.30 = 9,840.57/x
  3. Step 3: Cross multiply
    30,631.65x = 45,918.30 × 9,840.57
  4. Step 4: Simplify right side
    30,631.65x = 451,862,245.43
  5. Step 5: Solve for x
    x = 451,862,245.43/30,631.65
  6. Step 6: Final answer
    x = 14,751.48

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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.