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Finding the Fourth Proportional to 70,866.47, 106,297.81 and 28,735.27

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Solution

The fourth proportional to 70,866.47, 106,297.81 and 28,735.27 is: 43,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,866.47 : 106,297.81 = 28,735.27 : x
  2. Step 2: Convert to fraction form
    70,866.47/106,297.81 = 28,735.27/x
  3. Step 3: Cross multiply
    70,866.47x = 106,297.81 × 28,735.27
  4. Step 4: Simplify right side
    70,866.47x = 3,054,496,270.76
  5. Step 5: Solve for x
    x = 3,054,496,270.76/70,866.47
  6. Step 6: Final answer
    x = 43,102.14

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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.