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Finding the Fourth Proportional to 70,735.76, 106,104.86 and 23,989.84

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Solution

The fourth proportional to 70,735.76, 106,104.86 and 23,989.84 is: 35,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,735.76 : 106,104.86 = 23,989.84 : x
  2. Step 2: Convert to fraction form
    70,735.76/106,104.86 = 23,989.84/x
  3. Step 3: Cross multiply
    70,735.76x = 106,104.86 × 23,989.84
  4. Step 4: Simplify right side
    70,735.76x = 2,545,438,614.62
  5. Step 5: Solve for x
    x = 2,545,438,614.62/70,735.76
  6. Step 6: Final answer
    x = 35,985.17

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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.