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Finding the Fourth Proportional to 49,346.57, 73,978.34 and 19,748.25

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Solution

The fourth proportional to 49,346.57, 73,978.34 and 19,748.25 is: 29,605.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.57 : 73,978.34 = 19,748.25 : x
  2. Step 2: Convert to fraction form
    49,346.57/73,978.34 = 19,748.25/x
  3. Step 3: Cross multiply
    49,346.57x = 73,978.34 × 19,748.25
  4. Step 4: Simplify right side
    49,346.57x = 1,460,942,654.16
  5. Step 5: Solve for x
    x = 1,460,942,654.16/49,346.57
  6. Step 6: Final answer
    x = 29,605.76

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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.