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Finding the Fourth Proportional to 30,706.56, 46,062.72 and 12,240

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Solution

The fourth proportional to 30,706.56, 46,062.72 and 12,240 is: 18,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.56 : 46,062.72 = 12,240 : x
  2. Step 2: Convert to fraction form
    30,706.56/46,062.72 = 12,240/x
  3. Step 3: Cross multiply
    30,706.56x = 46,062.72 × 12,240
  4. Step 4: Simplify right side
    30,706.56x = 563,807,692.80
  5. Step 5: Solve for x
    x = 563,807,692.80/30,706.56
  6. Step 6: Final answer
    x = 18,361.15

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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.