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Finding the Fourth Proportional to 55,527.49, 83,266.19 and 27,436.58

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Solution

The fourth proportional to 55,527.49, 83,266.19 and 27,436.58 is: 41,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,527.49 : 83,266.19 = 27,436.58 : x
  2. Step 2: Convert to fraction form
    55,527.49/83,266.19 = 27,436.58/x
  3. Step 3: Cross multiply
    55,527.49x = 83,266.19 × 27,436.58
  4. Step 4: Simplify right side
    55,527.49x = 2,284,539,346.05
  5. Step 5: Solve for x
    x = 2,284,539,346.05/55,527.49
  6. Step 6: Final answer
    x = 41,142.50

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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.