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Finding the Fourth Proportional to 70,734.96, 106,099.68 and 23,987.88

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Solution

The fourth proportional to 70,734.96, 106,099.68 and 23,987.88 is: 35,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.96 : 106,099.68 = 23,987.88 : x
  2. Step 2: Convert to fraction form
    70,734.96/106,099.68 = 23,987.88/x
  3. Step 3: Cross multiply
    70,734.96x = 106,099.68 × 23,987.88
  4. Step 4: Simplify right side
    70,734.96x = 2,545,106,391.88
  5. Step 5: Solve for x
    x = 2,545,106,391.88/70,734.96
  6. Step 6: Final answer
    x = 35,980.88

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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.