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Finding the Fourth Proportional to 47,706.70, 71,450.70 and 46,613.20

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Solution

The fourth proportional to 47,706.70, 71,450.70 and 46,613.20 is: 69,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,706.70 : 71,450.70 = 46,613.20 : x
  2. Step 2: Convert to fraction form
    47,706.70/71,450.70 = 46,613.20/x
  3. Step 3: Cross multiply
    47,706.70x = 71,450.70 × 46,613.20
  4. Step 4: Simplify right side
    47,706.70x = 3,330,545,769.24
  5. Step 5: Solve for x
    x = 3,330,545,769.24/47,706.70
  6. Step 6: Final answer
    x = 69,812.96

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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.