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Finding the Fourth Proportional to 30,583, 42,204.62 and 17,844.94

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Solution

The fourth proportional to 30,583, 42,204.62 and 17,844.94 is: 24,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583 : 42,204.62 = 17,844.94 : x
  2. Step 2: Convert to fraction form
    30,583/42,204.62 = 17,844.94/x
  3. Step 3: Cross multiply
    30,583x = 42,204.62 × 17,844.94
  4. Step 4: Simplify right side
    30,583x = 753,138,911.62
  5. Step 5: Solve for x
    x = 753,138,911.62/30,583
  6. Step 6: Final answer
    x = 24,626.06

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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.