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Finding the Fourth Proportional to 30,908.34, 42,646.32 and 20,855.43

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Solution

The fourth proportional to 30,908.34, 42,646.32 and 20,855.43 is: 28,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.34 : 42,646.32 = 20,855.43 : x
  2. Step 2: Convert to fraction form
    30,908.34/42,646.32 = 20,855.43/x
  3. Step 3: Cross multiply
    30,908.34x = 42,646.32 × 20,855.43
  4. Step 4: Simplify right side
    30,908.34x = 889,407,341.52
  5. Step 5: Solve for x
    x = 889,407,341.52/30,908.34
  6. Step 6: Final answer
    x = 28,775.64

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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.