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Finding the Fourth Proportional to 29,616.84, 44,442.76 and 10,910

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Solution

The fourth proportional to 29,616.84, 44,442.76 and 10,910 is: 16,371.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,616.84 : 44,442.76 = 10,910 : x
  2. Step 2: Convert to fraction form
    29,616.84/44,442.76 = 10,910/x
  3. Step 3: Cross multiply
    29,616.84x = 44,442.76 × 10,910
  4. Step 4: Simplify right side
    29,616.84x = 484,870,511.60
  5. Step 5: Solve for x
    x = 484,870,511.60/29,616.84
  6. Step 6: Final answer
    x = 16,371.45

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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.