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Finding the Fourth Proportional to 47,693.93, 71,541.45 and 14,414.27

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Solution

The fourth proportional to 47,693.93, 71,541.45 and 14,414.27 is: 21,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,693.93 : 71,541.45 = 14,414.27 : x
  2. Step 2: Convert to fraction form
    47,693.93/71,541.45 = 14,414.27/x
  3. Step 3: Cross multiply
    47,693.93x = 71,541.45 × 14,414.27
  4. Step 4: Simplify right side
    47,693.93x = 1,031,217,418.78
  5. Step 5: Solve for x
    x = 1,031,217,418.78/47,693.93
  6. Step 6: Final answer
    x = 21,621.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.