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Finding the Fourth Proportional to 49,654.52, 74,484.05 and 16,377.49

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Solution

The fourth proportional to 49,654.52, 74,484.05 and 16,377.49 is: 24,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,654.52 : 74,484.05 = 16,377.49 : x
  2. Step 2: Convert to fraction form
    49,654.52/74,484.05 = 16,377.49/x
  3. Step 3: Cross multiply
    49,654.52x = 74,484.05 × 16,377.49
  4. Step 4: Simplify right side
    49,654.52x = 1,219,861,329.73
  5. Step 5: Solve for x
    x = 1,219,861,329.73/49,654.52
  6. Step 6: Final answer
    x = 24,566.98

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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.