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Finding the Fourth Proportional to 75,423, 104,087 and 41,889

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Solution

The fourth proportional to 75,423, 104,087 and 41,889 is: 57,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,423 : 104,087 = 41,889 : x
  2. Step 2: Convert to fraction form
    75,423/104,087 = 41,889/x
  3. Step 3: Cross multiply
    75,423x = 104,087 × 41,889
  4. Step 4: Simplify right side
    75,423x = 4,360,100,343
  5. Step 5: Solve for x
    x = 4,360,100,343/75,423
  6. Step 6: Final answer
    x = 57,808.63

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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.