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Finding the Fourth Proportional to 48,950.76, 73,410.36 and 13,881

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Solution

The fourth proportional to 48,950.76, 73,410.36 and 13,881 is: 20,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,950.76 : 73,410.36 = 13,881 : x
  2. Step 2: Convert to fraction form
    48,950.76/73,410.36 = 13,881/x
  3. Step 3: Cross multiply
    48,950.76x = 73,410.36 × 13,881
  4. Step 4: Simplify right side
    48,950.76x = 1,019,009,207.16
  5. Step 5: Solve for x
    x = 1,019,009,207.16/48,950.76
  6. Step 6: Final answer
    x = 20,817.03

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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.