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Finding the Fourth Proportional to 49,191.84, 73,735.92 and 24,516

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Solution

The fourth proportional to 49,191.84, 73,735.92 and 24,516 is: 36,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,191.84 : 73,735.92 = 24,516 : x
  2. Step 2: Convert to fraction form
    49,191.84/73,735.92 = 24,516/x
  3. Step 3: Cross multiply
    49,191.84x = 73,735.92 × 24,516
  4. Step 4: Simplify right side
    49,191.84x = 1,807,709,814.72
  5. Step 5: Solve for x
    x = 1,807,709,814.72/49,191.84
  6. Step 6: Final answer
    x = 36,748.16

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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.