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Finding the Fourth Proportional to 76,020.40, 114,019.80 and 26,102.80

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Solution

The fourth proportional to 76,020.40, 114,019.80 and 26,102.80 is: 39,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,020.40 : 114,019.80 = 26,102.80 : x
  2. Step 2: Convert to fraction form
    76,020.40/114,019.80 = 26,102.80/x
  3. Step 3: Cross multiply
    76,020.40x = 114,019.80 × 26,102.80
  4. Step 4: Simplify right side
    76,020.40x = 2,976,236,035.44
  5. Step 5: Solve for x
    x = 2,976,236,035.44/76,020.40
  6. Step 6: Final answer
    x = 39,150.49

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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.