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Finding the Fourth Proportional to 29,696, 44,544 and 7,808

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Solution

The fourth proportional to 29,696, 44,544 and 7,808 is: 11,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696 : 44,544 = 7,808 : x
  2. Step 2: Convert to fraction form
    29,696/44,544 = 7,808/x
  3. Step 3: Cross multiply
    29,696x = 44,544 × 7,808
  4. Step 4: Simplify right side
    29,696x = 347,799,552
  5. Step 5: Solve for x
    x = 347,799,552/29,696
  6. Step 6: Final answer
    x = 11,712

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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.