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Finding the Fourth Proportional to 54,596.60, 81,938.10 and 21,332.60

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Solution

The fourth proportional to 54,596.60, 81,938.10 and 21,332.60 is: 32,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596.60 : 81,938.10 = 21,332.60 : x
  2. Step 2: Convert to fraction form
    54,596.60/81,938.10 = 21,332.60/x
  3. Step 3: Cross multiply
    54,596.60x = 81,938.10 × 21,332.60
  4. Step 4: Simplify right side
    54,596.60x = 1,747,952,712.06
  5. Step 5: Solve for x
    x = 1,747,952,712.06/54,596.60
  6. Step 6: Final answer
    x = 32,015.78

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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.