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Finding the Fourth Proportional to 70,273.48, 105,409.68 and 23,525.86

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Solution

The fourth proportional to 70,273.48, 105,409.68 and 23,525.86 is: 35,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,273.48 : 105,409.68 = 23,525.86 : x
  2. Step 2: Convert to fraction form
    70,273.48/105,409.68 = 23,525.86/x
  3. Step 3: Cross multiply
    70,273.48x = 105,409.68 × 23,525.86
  4. Step 4: Simplify right side
    70,273.48x = 2,479,853,374.32
  5. Step 5: Solve for x
    x = 2,479,853,374.32/70,273.48
  6. Step 6: Final answer
    x = 35,288.61

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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.