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Finding the Fourth Proportional to 31,228.36, 46,847.18 and 9,038.97

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Solution

The fourth proportional to 31,228.36, 46,847.18 and 9,038.97 is: 13,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.36 : 46,847.18 = 9,038.97 : x
  2. Step 2: Convert to fraction form
    31,228.36/46,847.18 = 9,038.97/x
  3. Step 3: Cross multiply
    31,228.36x = 46,847.18 × 9,038.97
  4. Step 4: Simplify right side
    31,228.36x = 423,450,226.36
  5. Step 5: Solve for x
    x = 423,450,226.36/31,228.36
  6. Step 6: Final answer
    x = 13,559.80

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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.