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Finding the Fourth Proportional to 54,683.48, 82,022.47 and 21,409.64

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Solution

The fourth proportional to 54,683.48, 82,022.47 and 21,409.64 is: 32,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,683.48 : 82,022.47 = 21,409.64 : x
  2. Step 2: Convert to fraction form
    54,683.48/82,022.47 = 21,409.64/x
  3. Step 3: Cross multiply
    54,683.48x = 82,022.47 × 21,409.64
  4. Step 4: Simplify right side
    54,683.48x = 1,756,071,554.61
  5. Step 5: Solve for x
    x = 1,756,071,554.61/54,683.48
  6. Step 6: Final answer
    x = 32,113.38

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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.