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Finding the Fourth Proportional to 76,941.80, 115,428.30 and 43,677.80

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Solution

The fourth proportional to 76,941.80, 115,428.30 and 43,677.80 is: 65,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,941.80 : 115,428.30 = 43,677.80 : x
  2. Step 2: Convert to fraction form
    76,941.80/115,428.30 = 43,677.80/x
  3. Step 3: Cross multiply
    76,941.80x = 115,428.30 × 43,677.80
  4. Step 4: Simplify right side
    76,941.80x = 5,041,654,201.74
  5. Step 5: Solve for x
    x = 5,041,654,201.74/76,941.80
  6. Step 6: Final answer
    x = 65,525.56

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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.