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Finding the Fourth Proportional to 76,182, 114,273.27 and 20,778

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Solution

The fourth proportional to 76,182, 114,273.27 and 20,778 is: 31,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182 : 114,273.27 = 20,778 : x
  2. Step 2: Convert to fraction form
    76,182/114,273.27 = 20,778/x
  3. Step 3: Cross multiply
    76,182x = 114,273.27 × 20,778
  4. Step 4: Simplify right side
    76,182x = 2,374,370,004.06
  5. Step 5: Solve for x
    x = 2,374,370,004.06/76,182
  6. Step 6: Final answer
    x = 31,167.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.