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Finding the Fourth Proportional to 72,935.88, 100,648.89 and 41,107.74

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Solution

The fourth proportional to 72,935.88, 100,648.89 and 41,107.74 is: 56,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,935.88 : 100,648.89 = 41,107.74 : x
  2. Step 2: Convert to fraction form
    72,935.88/100,648.89 = 41,107.74/x
  3. Step 3: Cross multiply
    72,935.88x = 100,648.89 × 41,107.74
  4. Step 4: Simplify right side
    72,935.88x = 4,137,448,401.41
  5. Step 5: Solve for x
    x = 4,137,448,401.41/72,935.88
  6. Step 6: Final answer
    x = 56,727.20

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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.