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Finding the Fourth Proportional to 70,740.48, 106,128 and 23,993.76

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Solution

The fourth proportional to 70,740.48, 106,128 and 23,993.76 is: 35,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,740.48 : 106,128 = 23,993.76 : x
  2. Step 2: Convert to fraction form
    70,740.48/106,128 = 23,993.76/x
  3. Step 3: Cross multiply
    70,740.48x = 106,128 × 23,993.76
  4. Step 4: Simplify right side
    70,740.48x = 2,546,409,761.28
  5. Step 5: Solve for x
    x = 2,546,409,761.28/70,740.48
  6. Step 6: Final answer
    x = 35,996.50

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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.