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Finding the Fourth Proportional to 75,056.50, 103,578.38 and 41,065.39

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Solution

The fourth proportional to 75,056.50, 103,578.38 and 41,065.39 is: 56,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,056.50 : 103,578.38 = 41,065.39 : x
  2. Step 2: Convert to fraction form
    75,056.50/103,578.38 = 41,065.39/x
  3. Step 3: Cross multiply
    75,056.50x = 103,578.38 × 41,065.39
  4. Step 4: Simplify right side
    75,056.50x = 4,253,486,570.27
  5. Step 5: Solve for x
    x = 4,253,486,570.27/75,056.50
  6. Step 6: Final answer
    x = 56,670.46

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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.