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Finding the Fourth Proportional to 48,809.88, 73,219.14 and 13,749.84

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Solution

The fourth proportional to 48,809.88, 73,219.14 and 13,749.84 is: 20,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,809.88 : 73,219.14 = 13,749.84 : x
  2. Step 2: Convert to fraction form
    48,809.88/73,219.14 = 13,749.84/x
  3. Step 3: Cross multiply
    48,809.88x = 73,219.14 × 13,749.84
  4. Step 4: Simplify right side
    48,809.88x = 1,006,751,459.94
  5. Step 5: Solve for x
    x = 1,006,751,459.94/48,809.88
  6. Step 6: Final answer
    x = 20,625.98

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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.