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Finding the Fourth Proportional to 49,538.50, 74,313.96 and 16,262.02

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Solution

The fourth proportional to 49,538.50, 74,313.96 and 16,262.02 is: 24,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,538.50 : 74,313.96 = 16,262.02 : x
  2. Step 2: Convert to fraction form
    49,538.50/74,313.96 = 16,262.02/x
  3. Step 3: Cross multiply
    49,538.50x = 74,313.96 × 16,262.02
  4. Step 4: Simplify right side
    49,538.50x = 1,208,495,103.80
  5. Step 5: Solve for x
    x = 1,208,495,103.80/49,538.50
  6. Step 6: Final answer
    x = 24,395.07

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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.