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Finding the Fourth Proportional to 31,028.65, 46,541.98 and 9,968.61

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Solution

The fourth proportional to 31,028.65, 46,541.98 and 9,968.61 is: 14,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.65 : 46,541.98 = 9,968.61 : x
  2. Step 2: Convert to fraction form
    31,028.65/46,541.98 = 9,968.61/x
  3. Step 3: Cross multiply
    31,028.65x = 46,541.98 × 9,968.61
  4. Step 4: Simplify right side
    31,028.65x = 463,958,847.25
  5. Step 5: Solve for x
    x = 463,958,847.25/31,028.65
  6. Step 6: Final answer
    x = 14,952.60

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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.