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Finding the Fourth Proportional to 30,877.49, 42,613.05 and 18,782.70

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Solution

The fourth proportional to 30,877.49, 42,613.05 and 18,782.70 is: 25,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.49 : 42,613.05 = 18,782.70 : x
  2. Step 2: Convert to fraction form
    30,877.49/42,613.05 = 18,782.70/x
  3. Step 3: Cross multiply
    30,877.49x = 42,613.05 × 18,782.70
  4. Step 4: Simplify right side
    30,877.49x = 800,388,134.24
  5. Step 5: Solve for x
    x = 800,388,134.24/30,877.49
  6. Step 6: Final answer
    x = 25,921.42

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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.