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Finding the Fourth Proportional to 76,850, 106,053 and 41,522

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Solution

The fourth proportional to 76,850, 106,053 and 41,522 is: 57,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850 : 106,053 = 41,522 : x
  2. Step 2: Convert to fraction form
    76,850/106,053 = 41,522/x
  3. Step 3: Cross multiply
    76,850x = 106,053 × 41,522
  4. Step 4: Simplify right side
    76,850x = 4,403,532,666
  5. Step 5: Solve for x
    x = 4,403,532,666/76,850
  6. Step 6: Final answer
    x = 57,300.36

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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.