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Finding the Fourth Proportional to 49,898.84, 74,832.05 and 16,609.96

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Solution

The fourth proportional to 49,898.84, 74,832.05 and 16,609.96 is: 24,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,898.84 : 74,832.05 = 16,609.96 : x
  2. Step 2: Convert to fraction form
    49,898.84/74,832.05 = 16,609.96/x
  3. Step 3: Cross multiply
    49,898.84x = 74,832.05 × 16,609.96
  4. Step 4: Simplify right side
    49,898.84x = 1,242,957,492.28
  5. Step 5: Solve for x
    x = 1,242,957,492.28/49,898.84
  6. Step 6: Final answer
    x = 24,909.55

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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.