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Finding the Fourth Proportional to 29,384, 44,076 and 7,496

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Solution

The fourth proportional to 29,384, 44,076 and 7,496 is: 11,244

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,384 : 44,076 = 7,496 : x
  2. Step 2: Convert to fraction form
    29,384/44,076 = 7,496/x
  3. Step 3: Cross multiply
    29,384x = 44,076 × 7,496
  4. Step 4: Simplify right side
    29,384x = 330,393,696
  5. Step 5: Solve for x
    x = 330,393,696/29,384
  6. Step 6: Final answer
    x = 11,244

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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.