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Finding the Fourth Proportional to 48,896.96, 73,353.60 and 17,775.68

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Solution

The fourth proportional to 48,896.96, 73,353.60 and 17,775.68 is: 26,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,896.96 : 73,353.60 = 17,775.68 : x
  2. Step 2: Convert to fraction form
    48,896.96/73,353.60 = 17,775.68/x
  3. Step 3: Cross multiply
    48,896.96x = 73,353.60 × 17,775.68
  4. Step 4: Simplify right side
    48,896.96x = 1,303,910,120.45
  5. Step 5: Solve for x
    x = 1,303,910,120.45/48,896.96
  6. Step 6: Final answer
    x = 26,666.49

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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.