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Finding the Fourth Proportional to 30,460.80, 42,015.09 and 19,864.77

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Solution

The fourth proportional to 30,460.80, 42,015.09 and 19,864.77 is: 27,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.80 : 42,015.09 = 19,864.77 : x
  2. Step 2: Convert to fraction form
    30,460.80/42,015.09 = 19,864.77/x
  3. Step 3: Cross multiply
    30,460.80x = 42,015.09 × 19,864.77
  4. Step 4: Simplify right side
    30,460.80x = 834,620,099.38
  5. Step 5: Solve for x
    x = 834,620,099.38/30,460.80
  6. Step 6: Final answer
    x = 27,399.81

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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.