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Finding the Fourth Proportional to 50,719.20, 76,078.80 and 13,783.20

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Solution

The fourth proportional to 50,719.20, 76,078.80 and 13,783.20 is: 20,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,719.20 : 76,078.80 = 13,783.20 : x
  2. Step 2: Convert to fraction form
    50,719.20/76,078.80 = 13,783.20/x
  3. Step 3: Cross multiply
    50,719.20x = 76,078.80 × 13,783.20
  4. Step 4: Simplify right side
    50,719.20x = 1,048,609,316.16
  5. Step 5: Solve for x
    x = 1,048,609,316.16/50,719.20
  6. Step 6: Final answer
    x = 20,674.80

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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.