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Finding the Fourth Proportional to 30,715.96, 46,044.74 and 12,008

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Solution

The fourth proportional to 30,715.96, 46,044.74 and 12,008 is: 18,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.96 : 46,044.74 = 12,008 : x
  2. Step 2: Convert to fraction form
    30,715.96/46,044.74 = 12,008/x
  3. Step 3: Cross multiply
    30,715.96x = 46,044.74 × 12,008
  4. Step 4: Simplify right side
    30,715.96x = 552,905,237.92
  5. Step 5: Solve for x
    x = 552,905,237.92/30,715.96
  6. Step 6: Final answer
    x = 18,000.58

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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.