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Finding the Fourth Proportional to 48,933.40, 67,525.83 and 27,712.82

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Solution

The fourth proportional to 48,933.40, 67,525.83 and 27,712.82 is: 38,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,933.40 : 67,525.83 = 27,712.82 : x
  2. Step 2: Convert to fraction form
    48,933.40/67,525.83 = 27,712.82/x
  3. Step 3: Cross multiply
    48,933.40x = 67,525.83 × 27,712.82
  4. Step 4: Simplify right side
    48,933.40x = 1,871,331,172.14
  5. Step 5: Solve for x
    x = 1,871,331,172.14/48,933.40
  6. Step 6: Final answer
    x = 38,242.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.