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Finding the Fourth Proportional to 46,993.92, 70,457.28 and 22,020

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Solution

The fourth proportional to 46,993.92, 70,457.28 and 22,020 is: 33,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993.92 : 70,457.28 = 22,020 : x
  2. Step 2: Convert to fraction form
    46,993.92/70,457.28 = 22,020/x
  3. Step 3: Cross multiply
    46,993.92x = 70,457.28 × 22,020
  4. Step 4: Simplify right side
    46,993.92x = 1,551,469,305.60
  5. Step 5: Solve for x
    x = 1,551,469,305.60/46,993.92
  6. Step 6: Final answer
    x = 33,014.26

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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.