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Finding the Fourth Proportional to 70,970.40, 106,455.60 and 33,518.16

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Solution

The fourth proportional to 70,970.40, 106,455.60 and 33,518.16 is: 50,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.40 : 106,455.60 = 33,518.16 : x
  2. Step 2: Convert to fraction form
    70,970.40/106,455.60 = 33,518.16/x
  3. Step 3: Cross multiply
    70,970.40x = 106,455.60 × 33,518.16
  4. Step 4: Simplify right side
    70,970.40x = 3,568,195,833.70
  5. Step 5: Solve for x
    x = 3,568,195,833.70/70,970.40
  6. Step 6: Final answer
    x = 50,277.24

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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.