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Finding the Fourth Proportional to 76,443.20, 114,664.80 and 20,283.20

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Solution

The fourth proportional to 76,443.20, 114,664.80 and 20,283.20 is: 30,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,443.20 : 114,664.80 = 20,283.20 : x
  2. Step 2: Convert to fraction form
    76,443.20/114,664.80 = 20,283.20/x
  3. Step 3: Cross multiply
    76,443.20x = 114,664.80 × 20,283.20
  4. Step 4: Simplify right side
    76,443.20x = 2,325,769,071.36
  5. Step 5: Solve for x
    x = 2,325,769,071.36/76,443.20
  6. Step 6: Final answer
    x = 30,424.80

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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.