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Finding the Fourth Proportional to 76,596.96, 114,882.48 and 21,180

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Solution

The fourth proportional to 76,596.96, 114,882.48 and 21,180 is: 31,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596.96 : 114,882.48 = 21,180 : x
  2. Step 2: Convert to fraction form
    76,596.96/114,882.48 = 21,180/x
  3. Step 3: Cross multiply
    76,596.96x = 114,882.48 × 21,180
  4. Step 4: Simplify right side
    76,596.96x = 2,433,210,926.40
  5. Step 5: Solve for x
    x = 2,433,210,926.40/76,596.96
  6. Step 6: Final answer
    x = 31,766.42

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