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Finding the Fourth Proportional to 76,608.50, 114,912.80 and 20,448.84

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Solution

The fourth proportional to 76,608.50, 114,912.80 and 20,448.84 is: 30,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,608.50 : 114,912.80 = 20,448.84 : x
  2. Step 2: Convert to fraction form
    76,608.50/114,912.80 = 20,448.84/x
  3. Step 3: Cross multiply
    76,608.50x = 114,912.80 × 20,448.84
  4. Step 4: Simplify right side
    76,608.50x = 2,349,833,358.91
  5. Step 5: Solve for x
    x = 2,349,833,358.91/76,608.50
  6. Step 6: Final answer
    x = 30,673.27

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1.5x scale

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.