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Finding the Fourth Proportional to 76,827, 106,021.26 and 41,499

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Solution

The fourth proportional to 76,827, 106,021.26 and 41,499 is: 57,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827 : 106,021.26 = 41,499 : x
  2. Step 2: Convert to fraction form
    76,827/106,021.26 = 41,499/x
  3. Step 3: Cross multiply
    76,827x = 106,021.26 × 41,499
  4. Step 4: Simplify right side
    76,827x = 4,399,776,268.74
  5. Step 5: Solve for x
    x = 4,399,776,268.74/76,827
  6. Step 6: Final answer
    x = 57,268.62

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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.