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Finding the Fourth Proportional to 77,504.28, 106,959.42 and 45,674.52

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Solution

The fourth proportional to 77,504.28, 106,959.42 and 45,674.52 is: 63,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,504.28 : 106,959.42 = 45,674.52 : x
  2. Step 2: Convert to fraction form
    77,504.28/106,959.42 = 45,674.52/x
  3. Step 3: Cross multiply
    77,504.28x = 106,959.42 × 45,674.52
  4. Step 4: Simplify right side
    77,504.28x = 4,885,320,167.98
  5. Step 5: Solve for x
    x = 4,885,320,167.98/77,504.28
  6. Step 6: Final answer
    x = 63,032.91

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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.