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Finding the Fourth Proportional to 70,667.60, 105,935.50 and 23,887.76

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Solution

The fourth proportional to 70,667.60, 105,935.50 and 23,887.76 is: 35,809.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,667.60 : 105,935.50 = 23,887.76 : x
  2. Step 2: Convert to fraction form
    70,667.60/105,935.50 = 23,887.76/x
  3. Step 3: Cross multiply
    70,667.60x = 105,935.50 × 23,887.76
  4. Step 4: Simplify right side
    70,667.60x = 2,530,561,799.48
  5. Step 5: Solve for x
    x = 2,530,561,799.48/70,667.60
  6. Step 6: Final answer
    x = 35,809.36

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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.