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Finding the Fourth Proportional to 34,387.43, 47,463.09 and 20,966.08

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Solution

The fourth proportional to 34,387.43, 47,463.09 and 20,966.08 is: 28,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,387.43 : 47,463.09 = 20,966.08 : x
  2. Step 2: Convert to fraction form
    34,387.43/47,463.09 = 20,966.08/x
  3. Step 3: Cross multiply
    34,387.43x = 47,463.09 × 20,966.08
  4. Step 4: Simplify right side
    34,387.43x = 995,114,941.99
  5. Step 5: Solve for x
    x = 995,114,941.99/34,387.43
  6. Step 6: Final answer
    x = 28,938.33

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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.