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Finding the Fourth Proportional to 70,634.63, 105,949.22 and 23,887.51

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Solution

The fourth proportional to 70,634.63, 105,949.22 and 23,887.51 is: 35,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,634.63 : 105,949.22 = 23,887.51 : x
  2. Step 2: Convert to fraction form
    70,634.63/105,949.22 = 23,887.51/x
  3. Step 3: Cross multiply
    70,634.63x = 105,949.22 × 23,887.51
  4. Step 4: Simplify right side
    70,634.63x = 2,530,862,667.93
  5. Step 5: Solve for x
    x = 2,530,862,667.93/70,634.63
  6. Step 6: Final answer
    x = 35,830.34

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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.