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Finding the Fourth Proportional to 55,892.40, 83,822.40 and 20,349.60

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Solution

The fourth proportional to 55,892.40, 83,822.40 and 20,349.60 is: 30,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892.40 : 83,822.40 = 20,349.60 : x
  2. Step 2: Convert to fraction form
    55,892.40/83,822.40 = 20,349.60/x
  3. Step 3: Cross multiply
    55,892.40x = 83,822.40 × 20,349.60
  4. Step 4: Simplify right side
    55,892.40x = 1,705,752,311.04
  5. Step 5: Solve for x
    x = 1,705,752,311.04/55,892.40
  6. Step 6: Final answer
    x = 30,518.50

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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.