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Finding the Fourth Proportional to 30,706.19, 46,059.30 and 8,525.15

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Solution

The fourth proportional to 30,706.19, 46,059.30 and 8,525.15 is: 12,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.19 : 46,059.30 = 8,525.15 : x
  2. Step 2: Convert to fraction form
    30,706.19/46,059.30 = 8,525.15/x
  3. Step 3: Cross multiply
    30,706.19x = 46,059.30 × 8,525.15
  4. Step 4: Simplify right side
    30,706.19x = 392,662,441.40
  5. Step 5: Solve for x
    x = 392,662,441.40/30,706.19
  6. Step 6: Final answer
    x = 12,787.73

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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.