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Finding the Fourth Proportional to 75,164.94, 103,724.83 and 41,173.71

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Solution

The fourth proportional to 75,164.94, 103,724.83 and 41,173.71 is: 56,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,164.94 : 103,724.83 = 41,173.71 : x
  2. Step 2: Convert to fraction form
    75,164.94/103,724.83 = 41,173.71/x
  3. Step 3: Cross multiply
    75,164.94x = 103,724.83 × 41,173.71
  4. Step 4: Simplify right side
    75,164.94x = 4,270,736,070.22
  5. Step 5: Solve for x
    x = 4,270,736,070.22/75,164.94
  6. Step 6: Final answer
    x = 56,818.19

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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.