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Finding the Fourth Proportional to 103,096.46, 154,596.15 and 39,946.16

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Solution

The fourth proportional to 103,096.46, 154,596.15 and 39,946.16 is: 59,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,096.46 : 154,596.15 = 39,946.16 : x
  2. Step 2: Convert to fraction form
    103,096.46/154,596.15 = 39,946.16/x
  3. Step 3: Cross multiply
    103,096.46x = 154,596.15 × 39,946.16
  4. Step 4: Simplify right side
    103,096.46x = 6,175,521,770.30
  5. Step 5: Solve for x
    x = 6,175,521,770.30/103,096.46
  6. Step 6: Final answer
    x = 59,900.43

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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.