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Finding the Fourth Proportional to 34,480.84, 51,706.68 and 10,782.04

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Solution

The fourth proportional to 34,480.84, 51,706.68 and 10,782.04 is: 16,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,480.84 : 51,706.68 = 10,782.04 : x
  2. Step 2: Convert to fraction form
    34,480.84/51,706.68 = 10,782.04/x
  3. Step 3: Cross multiply
    34,480.84x = 51,706.68 × 10,782.04
  4. Step 4: Simplify right side
    34,480.84x = 557,503,492.03
  5. Step 5: Solve for x
    x = 557,503,492.03/34,480.84
  6. Step 6: Final answer
    x = 16,168.50

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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.