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Finding the Fourth Proportional to 30,705.19, 46,057.80 and 8,524.15

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Solution

The fourth proportional to 30,705.19, 46,057.80 and 8,524.15 is: 12,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.19 : 46,057.80 = 8,524.15 : x
  2. Step 2: Convert to fraction form
    30,705.19/46,057.80 = 8,524.15/x
  3. Step 3: Cross multiply
    30,705.19x = 46,057.80 × 8,524.15
  4. Step 4: Simplify right side
    30,705.19x = 392,603,595.87
  5. Step 5: Solve for x
    x = 392,603,595.87/30,705.19
  6. Step 6: Final answer
    x = 12,786.23

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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.