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Finding the Fourth Proportional to 76,841, 106,040.90 and 42,849.38

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Solution

The fourth proportional to 76,841, 106,040.90 and 42,849.38 is: 59,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841 : 106,040.90 = 42,849.38 : x
  2. Step 2: Convert to fraction form
    76,841/106,040.90 = 42,849.38/x
  3. Step 3: Cross multiply
    76,841x = 106,040.90 × 42,849.38
  4. Step 4: Simplify right side
    76,841x = 4,543,786,819.64
  5. Step 5: Solve for x
    x = 4,543,786,819.64/76,841
  6. Step 6: Final answer
    x = 59,132.32

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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.