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Finding the Fourth Proportional to 29,904, 44,856 and 8,016

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Solution

The fourth proportional to 29,904, 44,856 and 8,016 is: 12,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904 : 44,856 = 8,016 : x
  2. Step 2: Convert to fraction form
    29,904/44,856 = 8,016/x
  3. Step 3: Cross multiply
    29,904x = 44,856 × 8,016
  4. Step 4: Simplify right side
    29,904x = 359,565,696
  5. Step 5: Solve for x
    x = 359,565,696/29,904
  6. Step 6: Final answer
    x = 12,024

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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.