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Finding the Fourth Proportional to 30,709.24, 46,063.86 and 8,522.62

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Solution

The fourth proportional to 30,709.24, 46,063.86 and 8,522.62 is: 12,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.24 : 46,063.86 = 8,522.62 : x
  2. Step 2: Convert to fraction form
    30,709.24/46,063.86 = 8,522.62/x
  3. Step 3: Cross multiply
    30,709.24x = 46,063.86 × 8,522.62
  4. Step 4: Simplify right side
    30,709.24x = 392,584,774.51
  5. Step 5: Solve for x
    x = 392,584,774.51/30,709.24
  6. Step 6: Final answer
    x = 12,783.93

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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.