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Finding the Fourth Proportional to 32,004, 48,006 and 10,116

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Solution

The fourth proportional to 32,004, 48,006 and 10,116 is: 15,174

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 48,006 = 10,116 : x
  2. Step 2: Convert to fraction form
    32,004/48,006 = 10,116/x
  3. Step 3: Cross multiply
    32,004x = 48,006 × 10,116
  4. Step 4: Simplify right side
    32,004x = 485,628,696
  5. Step 5: Solve for x
    x = 485,628,696/32,004
  6. Step 6: Final answer
    x = 15,174

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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.