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Finding the Fourth Proportional to 75,771, 104,563.98 and 42,237

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Solution

The fourth proportional to 75,771, 104,563.98 and 42,237 is: 58,287.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771 : 104,563.98 = 42,237 : x
  2. Step 2: Convert to fraction form
    75,771/104,563.98 = 42,237/x
  3. Step 3: Cross multiply
    75,771x = 104,563.98 × 42,237
  4. Step 4: Simplify right side
    75,771x = 4,416,468,823.26
  5. Step 5: Solve for x
    x = 4,416,468,823.26/75,771
  6. Step 6: Final answer
    x = 58,287.06

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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.