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Finding the Fourth Proportional to 62,142, 85,756.14 and 33,847.71

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Solution

The fourth proportional to 62,142, 85,756.14 and 33,847.71 is: 46,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142 : 85,756.14 = 33,847.71 : x
  2. Step 2: Convert to fraction form
    62,142/85,756.14 = 33,847.71/x
  3. Step 3: Cross multiply
    62,142x = 85,756.14 × 33,847.71
  4. Step 4: Simplify right side
    62,142x = 2,902,648,957.44
  5. Step 5: Solve for x
    x = 2,902,648,957.44/62,142
  6. Step 6: Final answer
    x = 46,709.94

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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.