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Finding the Fourth Proportional to 75,154.50, 103,713.02 and 41,163

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Solution

The fourth proportional to 75,154.50, 103,713.02 and 41,163 is: 56,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,154.50 : 103,713.02 = 41,163 : x
  2. Step 2: Convert to fraction form
    75,154.50/103,713.02 = 41,163/x
  3. Step 3: Cross multiply
    75,154.50x = 103,713.02 × 41,163
  4. Step 4: Simplify right side
    75,154.50x = 4,269,139,042.26
  5. Step 5: Solve for x
    x = 4,269,139,042.26/75,154.50
  6. Step 6: Final answer
    x = 56,804.84

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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.