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Finding the Fourth Proportional to 50,823.87, 76,230.03 and 13,386.87

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Solution

The fourth proportional to 50,823.87, 76,230.03 and 13,386.87 is: 20,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823.87 : 76,230.03 = 13,386.87 : x
  2. Step 2: Convert to fraction form
    50,823.87/76,230.03 = 13,386.87/x
  3. Step 3: Cross multiply
    50,823.87x = 76,230.03 × 13,386.87
  4. Step 4: Simplify right side
    50,823.87x = 1,020,481,501.71
  5. Step 5: Solve for x
    x = 1,020,481,501.71/50,823.87
  6. Step 6: Final answer
    x = 20,078.78

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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.