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Finding the Fourth Proportional to 30,682.19, 46,018.16 and 8,497.82

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Solution

The fourth proportional to 30,682.19, 46,018.16 and 8,497.82 is: 12,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.19 : 46,018.16 = 8,497.82 : x
  2. Step 2: Convert to fraction form
    30,682.19/46,018.16 = 8,497.82/x
  3. Step 3: Cross multiply
    30,682.19x = 46,018.16 × 8,497.82
  4. Step 4: Simplify right side
    30,682.19x = 391,053,831.56
  5. Step 5: Solve for x
    x = 391,053,831.56/30,682.19
  6. Step 6: Final answer
    x = 12,745.30

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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.