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Finding the Fourth Proportional to 55,796.60, 83,630.10 and 22,500.20

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Solution

The fourth proportional to 55,796.60, 83,630.10 and 22,500.20 is: 33,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,796.60 : 83,630.10 = 22,500.20 : x
  2. Step 2: Convert to fraction form
    55,796.60/83,630.10 = 22,500.20/x
  3. Step 3: Cross multiply
    55,796.60x = 83,630.10 × 22,500.20
  4. Step 4: Simplify right side
    55,796.60x = 1,881,693,976.02
  5. Step 5: Solve for x
    x = 1,881,693,976.02/55,796.60
  6. Step 6: Final answer
    x = 33,724.17

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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.