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Finding the Fourth Proportional to 30,817.34, 46,232.98 and 11,096

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Solution

The fourth proportional to 30,817.34, 46,232.98 and 11,096 is: 16,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.34 : 46,232.98 = 11,096 : x
  2. Step 2: Convert to fraction form
    30,817.34/46,232.98 = 11,096/x
  3. Step 3: Cross multiply
    30,817.34x = 46,232.98 × 11,096
  4. Step 4: Simplify right side
    30,817.34x = 513,001,146.08
  5. Step 5: Solve for x
    x = 513,001,146.08/30,817.34
  6. Step 6: Final answer
    x = 16,646.51

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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.