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Finding the Fourth Proportional to 30,684.50, 46,027.32 and 9,624.08

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Solution

The fourth proportional to 30,684.50, 46,027.32 and 9,624.08 is: 14,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.50 : 46,027.32 = 9,624.08 : x
  2. Step 2: Convert to fraction form
    30,684.50/46,027.32 = 9,624.08/x
  3. Step 3: Cross multiply
    30,684.50x = 46,027.32 × 9,624.08
  4. Step 4: Simplify right side
    30,684.50x = 442,970,379.73
  5. Step 5: Solve for x
    x = 442,970,379.73/30,684.50
  6. Step 6: Final answer
    x = 14,436.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.