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Finding the Fourth Proportional to 75,231, 103,818.96 and 41,697

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Solution

The fourth proportional to 75,231, 103,818.96 and 41,697 is: 57,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,231 : 103,818.96 = 41,697 : x
  2. Step 2: Convert to fraction form
    75,231/103,818.96 = 41,697/x
  3. Step 3: Cross multiply
    75,231x = 103,818.96 × 41,697
  4. Step 4: Simplify right side
    75,231x = 4,328,939,175.12
  5. Step 5: Solve for x
    x = 4,328,939,175.12/75,231
  6. Step 6: Final answer
    x = 57,541.96

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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.