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Finding the Fourth Proportional to 50,358, 75,538.60 and 15,297.96

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Solution

The fourth proportional to 50,358, 75,538.60 and 15,297.96 is: 22,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,358 : 75,538.60 = 15,297.96 : x
  2. Step 2: Convert to fraction form
    50,358/75,538.60 = 15,297.96/x
  3. Step 3: Cross multiply
    50,358x = 75,538.60 × 15,297.96
  4. Step 4: Simplify right side
    50,358x = 1,155,586,481.26
  5. Step 5: Solve for x
    x = 1,155,586,481.26/50,358
  6. Step 6: Final answer
    x = 22,947.43

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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.