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Finding the Fourth Proportional to 77,034.66, 106,305.84 and 43,043.43

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Solution

The fourth proportional to 77,034.66, 106,305.84 and 43,043.43 is: 59,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034.66 : 106,305.84 = 43,043.43 : x
  2. Step 2: Convert to fraction form
    77,034.66/106,305.84 = 43,043.43/x
  3. Step 3: Cross multiply
    77,034.66x = 106,305.84 × 43,043.43
  4. Step 4: Simplify right side
    77,034.66x = 4,575,767,235.88
  5. Step 5: Solve for x
    x = 4,575,767,235.88/77,034.66
  6. Step 6: Final answer
    x = 59,398.81

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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.