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Finding the Fourth Proportional to 77,073.26, 106,359.48 and 43,080.80

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Solution

The fourth proportional to 77,073.26, 106,359.48 and 43,080.80 is: 59,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.26 : 106,359.48 = 43,080.80 : x
  2. Step 2: Convert to fraction form
    77,073.26/106,359.48 = 43,080.80/x
  3. Step 3: Cross multiply
    77,073.26x = 106,359.48 × 43,080.80
  4. Step 4: Simplify right side
    77,073.26x = 4,582,051,485.98
  5. Step 5: Solve for x
    x = 4,582,051,485.98/77,073.26
  6. Step 6: Final answer
    x = 59,450.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.