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Finding the Fourth Proportional to 30,462.05, 42,048.21 and 20,933.49

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Solution

The fourth proportional to 30,462.05, 42,048.21 and 20,933.49 is: 28,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.05 : 42,048.21 = 20,933.49 : x
  2. Step 2: Convert to fraction form
    30,462.05/42,048.21 = 20,933.49/x
  3. Step 3: Cross multiply
    30,462.05x = 42,048.21 × 20,933.49
  4. Step 4: Simplify right side
    30,462.05x = 880,215,783.21
  5. Step 5: Solve for x
    x = 880,215,783.21/30,462.05
  6. Step 6: Final answer
    x = 28,895.49

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