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Finding the Fourth Proportional to 55,299.48, 82,949.20 and 13,746.48

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Solution

The fourth proportional to 55,299.48, 82,949.20 and 13,746.48 is: 20,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,299.48 : 82,949.20 = 13,746.48 : x
  2. Step 2: Convert to fraction form
    55,299.48/82,949.20 = 13,746.48/x
  3. Step 3: Cross multiply
    55,299.48x = 82,949.20 × 13,746.48
  4. Step 4: Simplify right side
    55,299.48x = 1,140,259,484.45
  5. Step 5: Solve for x
    x = 1,140,259,484.45/55,299.48
  6. Step 6: Final answer
    x = 20,619.71

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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.