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Finding the Fourth Proportional to 76,841, 106,040.58 and 41,513

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Solution

The fourth proportional to 76,841, 106,040.58 and 41,513 is: 57,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841 : 106,040.58 = 41,513 : x
  2. Step 2: Convert to fraction form
    76,841/106,040.58 = 41,513/x
  3. Step 3: Cross multiply
    76,841x = 106,040.58 × 41,513
  4. Step 4: Simplify right side
    76,841x = 4,402,062,597.54
  5. Step 5: Solve for x
    x = 4,402,062,597.54/76,841
  6. Step 6: Final answer
    x = 57,287.94

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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.