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Finding the Fourth Proportional to 75,583, 104,304.56 and 42,049

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Solution

The fourth proportional to 75,583, 104,304.56 and 42,049 is: 58,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,583 : 104,304.56 = 42,049 : x
  2. Step 2: Convert to fraction form
    75,583/104,304.56 = 42,049/x
  3. Step 3: Cross multiply
    75,583x = 104,304.56 × 42,049
  4. Step 4: Simplify right side
    75,583x = 4,385,902,443.44
  5. Step 5: Solve for x
    x = 4,385,902,443.44/75,583
  6. Step 6: Final answer
    x = 58,027.63

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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.