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Finding the Fourth Proportional to 75,359, 104,000.28 and 41,825

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Solution

The fourth proportional to 75,359, 104,000.28 and 41,825 is: 57,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,359 : 104,000.28 = 41,825 : x
  2. Step 2: Convert to fraction form
    75,359/104,000.28 = 41,825/x
  3. Step 3: Cross multiply
    75,359x = 104,000.28 × 41,825
  4. Step 4: Simplify right side
    75,359x = 4,349,811,711
  5. Step 5: Solve for x
    x = 4,349,811,711/75,359
  6. Step 6: Final answer
    x = 57,721.20

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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.