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Finding the Fourth Proportional to 75,573, 104,291.37 and 42,039

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Solution

The fourth proportional to 75,573, 104,291.37 and 42,039 is: 58,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573 : 104,291.37 = 42,039 : x
  2. Step 2: Convert to fraction form
    75,573/104,291.37 = 42,039/x
  3. Step 3: Cross multiply
    75,573x = 104,291.37 × 42,039
  4. Step 4: Simplify right side
    75,573x = 4,384,304,903.43
  5. Step 5: Solve for x
    x = 4,384,304,903.43/75,573
  6. Step 6: Final answer
    x = 58,014.17

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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.