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Finding the Fourth Proportional to 49,713.57, 74,582.03 and 16,433.64

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Solution

The fourth proportional to 49,713.57, 74,582.03 and 16,433.64 is: 24,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,713.57 : 74,582.03 = 16,433.64 : x
  2. Step 2: Convert to fraction form
    49,713.57/74,582.03 = 16,433.64/x
  3. Step 3: Cross multiply
    49,713.57x = 74,582.03 × 16,433.64
  4. Step 4: Simplify right side
    49,713.57x = 1,225,654,272.57
  5. Step 5: Solve for x
    x = 1,225,654,272.57/49,713.57
  6. Step 6: Final answer
    x = 24,654.32

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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.