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Finding the Fourth Proportional to 54,916.80, 82,394.40 and 23,774.40

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Solution

The fourth proportional to 54,916.80, 82,394.40 and 23,774.40 is: 35,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,916.80 : 82,394.40 = 23,774.40 : x
  2. Step 2: Convert to fraction form
    54,916.80/82,394.40 = 23,774.40/x
  3. Step 3: Cross multiply
    54,916.80x = 82,394.40 × 23,774.40
  4. Step 4: Simplify right side
    54,916.80x = 1,958,877,423.36
  5. Step 5: Solve for x
    x = 1,958,877,423.36/54,916.80
  6. Step 6: Final answer
    x = 35,669.91

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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.