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Finding the Fourth Proportional to 52,469.88, 78,706.74 and 21,304.44

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Solution

The fourth proportional to 52,469.88, 78,706.74 and 21,304.44 is: 31,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,469.88 : 78,706.74 = 21,304.44 : x
  2. Step 2: Convert to fraction form
    52,469.88/78,706.74 = 21,304.44/x
  3. Step 3: Cross multiply
    52,469.88x = 78,706.74 × 21,304.44
  4. Step 4: Simplify right side
    52,469.88x = 1,676,803,019.93
  5. Step 5: Solve for x
    x = 1,676,803,019.93/52,469.88
  6. Step 6: Final answer
    x = 31,957.44

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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.