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Finding the Fourth Proportional to 70,218.54, 105,305.90 and 23,460.48

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Solution

The fourth proportional to 70,218.54, 105,305.90 and 23,460.48 is: 35,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,218.54 : 105,305.90 = 23,460.48 : x
  2. Step 2: Convert to fraction form
    70,218.54/105,305.90 = 23,460.48/x
  3. Step 3: Cross multiply
    70,218.54x = 105,305.90 × 23,460.48
  4. Step 4: Simplify right side
    70,218.54x = 2,470,526,843.53
  5. Step 5: Solve for x
    x = 2,470,526,843.53/70,218.54
  6. Step 6: Final answer
    x = 35,183.40

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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.