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Finding the Fourth Proportional to 30,670.85, 46,006.31 and 8,485.97

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Solution

The fourth proportional to 30,670.85, 46,006.31 and 8,485.97 is: 12,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.85 : 46,006.31 = 8,485.97 : x
  2. Step 2: Convert to fraction form
    30,670.85/46,006.31 = 8,485.97/x
  3. Step 3: Cross multiply
    30,670.85x = 46,006.31 × 8,485.97
  4. Step 4: Simplify right side
    30,670.85x = 390,407,957.65
  5. Step 5: Solve for x
    x = 390,407,957.65/30,670.85
  6. Step 6: Final answer
    x = 12,728.96

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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.