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Finding the Fourth Proportional to 70,620.96, 105,945.12 and 23,877.12

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Solution

The fourth proportional to 70,620.96, 105,945.12 and 23,877.12 is: 35,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,620.96 : 105,945.12 = 23,877.12 : x
  2. Step 2: Convert to fraction form
    70,620.96/105,945.12 = 23,877.12/x
  3. Step 3: Cross multiply
    70,620.96x = 105,945.12 × 23,877.12
  4. Step 4: Simplify right side
    70,620.96x = 2,529,664,343.65
  5. Step 5: Solve for x
    x = 2,529,664,343.65/70,620.96
  6. Step 6: Final answer
    x = 35,820.31

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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.