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Finding the Fourth Proportional to 48,491.46, 72,656.73 and 16,884.81

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Solution

The fourth proportional to 48,491.46, 72,656.73 and 16,884.81 is: 25,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,491.46 : 72,656.73 = 16,884.81 : x
  2. Step 2: Convert to fraction form
    48,491.46/72,656.73 = 16,884.81/x
  3. Step 3: Cross multiply
    48,491.46x = 72,656.73 × 16,884.81
  4. Step 4: Simplify right side
    48,491.46x = 1,226,795,081.27
  5. Step 5: Solve for x
    x = 1,226,795,081.27/48,491.46
  6. Step 6: Final answer
    x = 25,299.20

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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.