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Finding the Fourth Proportional to 75,996, 104,874.48 and 42,462

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Solution

The fourth proportional to 75,996, 104,874.48 and 42,462 is: 58,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 104,874.48 = 42,462 : x
  2. Step 2: Convert to fraction form
    75,996/104,874.48 = 42,462/x
  3. Step 3: Cross multiply
    75,996x = 104,874.48 × 42,462
  4. Step 4: Simplify right side
    75,996x = 4,453,180,169.76
  5. Step 5: Solve for x
    x = 4,453,180,169.76/75,996
  6. Step 6: Final answer
    x = 58,597.56

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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.