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Finding the Fourth Proportional to 31,284.57, 46,926.99 and 9,098.04

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Solution

The fourth proportional to 31,284.57, 46,926.99 and 9,098.04 is: 13,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,284.57 : 46,926.99 = 9,098.04 : x
  2. Step 2: Convert to fraction form
    31,284.57/46,926.99 = 9,098.04/x
  3. Step 3: Cross multiply
    31,284.57x = 46,926.99 × 9,098.04
  4. Step 4: Simplify right side
    31,284.57x = 426,943,632.10
  5. Step 5: Solve for x
    x = 426,943,632.10/31,284.57
  6. Step 6: Final answer
    x = 13,647.10

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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.