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Finding the Fourth Proportional to 46,906.71, 70,271.78 and 23,186.49

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Solution

The fourth proportional to 46,906.71, 70,271.78 and 23,186.49 is: 34,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906.71 : 70,271.78 = 23,186.49 : x
  2. Step 2: Convert to fraction form
    46,906.71/70,271.78 = 23,186.49/x
  3. Step 3: Cross multiply
    46,906.71x = 70,271.78 × 23,186.49
  4. Step 4: Simplify right side
    46,906.71x = 1,629,355,808.32
  5. Step 5: Solve for x
    x = 1,629,355,808.32/46,906.71
  6. Step 6: Final answer
    x = 34,736.09

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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.