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Finding the Fourth Proportional to 71,370, 98,490.60 and 41,562

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Solution

The fourth proportional to 71,370, 98,490.60 and 41,562 is: 57,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370 : 98,490.60 = 41,562 : x
  2. Step 2: Convert to fraction form
    71,370/98,490.60 = 41,562/x
  3. Step 3: Cross multiply
    71,370x = 98,490.60 × 41,562
  4. Step 4: Simplify right side
    71,370x = 4,093,466,317.20
  5. Step 5: Solve for x
    x = 4,093,466,317.20/71,370
  6. Step 6: Final answer
    x = 57,355.56

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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.