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Finding the Fourth Proportional to 75,825, 104,638.50 and 42,291

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Solution

The fourth proportional to 75,825, 104,638.50 and 42,291 is: 58,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,825 : 104,638.50 = 42,291 : x
  2. Step 2: Convert to fraction form
    75,825/104,638.50 = 42,291/x
  3. Step 3: Cross multiply
    75,825x = 104,638.50 × 42,291
  4. Step 4: Simplify right side
    75,825x = 4,425,266,803.50
  5. Step 5: Solve for x
    x = 4,425,266,803.50/75,825
  6. Step 6: Final answer
    x = 58,361.58

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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.