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Finding the Fourth Proportional to 77,975.80, 117,004.20 and 36,422.80

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Solution

The fourth proportional to 77,975.80, 117,004.20 and 36,422.80 is: 54,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,975.80 : 117,004.20 = 36,422.80 : x
  2. Step 2: Convert to fraction form
    77,975.80/117,004.20 = 36,422.80/x
  3. Step 3: Cross multiply
    77,975.80x = 117,004.20 × 36,422.80
  4. Step 4: Simplify right side
    77,975.80x = 4,261,620,575.76
  5. Step 5: Solve for x
    x = 4,261,620,575.76/77,975.80
  6. Step 6: Final answer
    x = 54,653.12

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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.