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Finding the Fourth Proportional to 70,651.16, 105,996.72 and 23,907.68

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Solution

The fourth proportional to 70,651.16, 105,996.72 and 23,907.68 is: 35,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,651.16 : 105,996.72 = 23,907.68 : x
  2. Step 2: Convert to fraction form
    70,651.16/105,996.72 = 23,907.68/x
  3. Step 3: Cross multiply
    70,651.16x = 105,996.72 × 23,907.68
  4. Step 4: Simplify right side
    70,651.16x = 2,534,135,662.81
  5. Step 5: Solve for x
    x = 2,534,135,662.81/70,651.16
  6. Step 6: Final answer
    x = 35,868.28

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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.