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Finding the Fourth Proportional to 75,337, 103,968.32 and 41,803

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Solution

The fourth proportional to 75,337, 103,968.32 and 41,803 is: 57,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,337 : 103,968.32 = 41,803 : x
  2. Step 2: Convert to fraction form
    75,337/103,968.32 = 41,803/x
  3. Step 3: Cross multiply
    75,337x = 103,968.32 × 41,803
  4. Step 4: Simplify right side
    75,337x = 4,346,187,680.96
  5. Step 5: Solve for x
    x = 4,346,187,680.96/75,337
  6. Step 6: Final answer
    x = 57,689.95

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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.