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Finding the Fourth Proportional to 74,283.57, 102,511.49 and 42,452.39

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Solution

The fourth proportional to 74,283.57, 102,511.49 and 42,452.39 is: 58,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,283.57 : 102,511.49 = 42,452.39 : x
  2. Step 2: Convert to fraction form
    74,283.57/102,511.49 = 42,452.39/x
  3. Step 3: Cross multiply
    74,283.57x = 102,511.49 × 42,452.39
  4. Step 4: Simplify right side
    74,283.57x = 4,351,857,752.96
  5. Step 5: Solve for x
    x = 4,351,857,752.96/74,283.57
  6. Step 6: Final answer
    x = 58,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.