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Finding the Fourth Proportional to 54,811.81, 82,222.94 and 15,368.81

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Solution

The fourth proportional to 54,811.81, 82,222.94 and 15,368.81 is: 23,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.81 : 82,222.94 = 15,368.81 : x
  2. Step 2: Convert to fraction form
    54,811.81/82,222.94 = 15,368.81/x
  3. Step 3: Cross multiply
    54,811.81x = 82,222.94 × 15,368.81
  4. Step 4: Simplify right side
    54,811.81x = 1,263,668,871.21
  5. Step 5: Solve for x
    x = 1,263,668,871.21/54,811.81
  6. Step 6: Final answer
    x = 23,054.68

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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.