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Finding the Fourth Proportional to 71,007.84, 97,961.04 and 49,800.96

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Solution

The fourth proportional to 71,007.84, 97,961.04 and 49,800.96 is: 68,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,007.84 : 97,961.04 = 49,800.96 : x
  2. Step 2: Convert to fraction form
    71,007.84/97,961.04 = 49,800.96/x
  3. Step 3: Cross multiply
    71,007.84x = 97,961.04 × 49,800.96
  4. Step 4: Simplify right side
    71,007.84x = 4,878,553,834.60
  5. Step 5: Solve for x
    x = 4,878,553,834.60/71,007.84
  6. Step 6: Final answer
    x = 68,704.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.