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Finding the Fourth Proportional to 30,771.84, 42,445.44 and 21,336.96

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Solution

The fourth proportional to 30,771.84, 42,445.44 and 21,336.96 is: 29,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.84 : 42,445.44 = 21,336.96 : x
  2. Step 2: Convert to fraction form
    30,771.84/42,445.44 = 21,336.96/x
  3. Step 3: Cross multiply
    30,771.84x = 42,445.44 × 21,336.96
  4. Step 4: Simplify right side
    30,771.84x = 905,656,655.46
  5. Step 5: Solve for x
    x = 905,656,655.46/30,771.84
  6. Step 6: Final answer
    x = 29,431.35

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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.