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Finding the Fourth Proportional to 30,923.25, 46,385.15 and 8,736.14

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Solution

The fourth proportional to 30,923.25, 46,385.15 and 8,736.14 is: 13,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,923.25 : 46,385.15 = 8,736.14 : x
  2. Step 2: Convert to fraction form
    30,923.25/46,385.15 = 8,736.14/x
  3. Step 3: Cross multiply
    30,923.25x = 46,385.15 × 8,736.14
  4. Step 4: Simplify right side
    30,923.25x = 405,226,888.71
  5. Step 5: Solve for x
    x = 405,226,888.71/30,923.25
  6. Step 6: Final answer
    x = 13,104.28

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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.