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Finding the Fourth Proportional to 31,118.90, 46,678.26 and 7,745.34

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Solution

The fourth proportional to 31,118.90, 46,678.26 and 7,745.34 is: 11,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.90 : 46,678.26 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    31,118.90/46,678.26 = 7,745.34/x
  3. Step 3: Cross multiply
    31,118.90x = 46,678.26 × 7,745.34
  4. Step 4: Simplify right side
    31,118.90x = 361,538,994.31
  5. Step 5: Solve for x
    x = 361,538,994.31/31,118.90
  6. Step 6: Final answer
    x = 11,617.99

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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.