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Finding the Fourth Proportional to 49,098.96, 73,673.28 and 24,138

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Solution

The fourth proportional to 49,098.96, 73,673.28 and 24,138 is: 36,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.96 : 73,673.28 = 24,138 : x
  2. Step 2: Convert to fraction form
    49,098.96/73,673.28 = 24,138/x
  3. Step 3: Cross multiply
    49,098.96x = 73,673.28 × 24,138
  4. Step 4: Simplify right side
    49,098.96x = 1,778,325,632.64
  5. Step 5: Solve for x
    x = 1,778,325,632.64/49,098.96
  6. Step 6: Final answer
    x = 36,219.21

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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.