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Finding the Fourth Proportional to 75,456.09, 113,195 and 22,869.67

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Solution

The fourth proportional to 75,456.09, 113,195 and 22,869.67 is: 34,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456.09 : 113,195 = 22,869.67 : x
  2. Step 2: Convert to fraction form
    75,456.09/113,195 = 22,869.67/x
  3. Step 3: Cross multiply
    75,456.09x = 113,195 × 22,869.67
  4. Step 4: Simplify right side
    75,456.09x = 2,588,732,295.65
  5. Step 5: Solve for x
    x = 2,588,732,295.65/75,456.09
  6. Step 6: Final answer
    x = 34,307.80

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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.