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Finding the Fourth Proportional to 49,929.60, 74,883.60 and 21,849.60

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Solution

The fourth proportional to 49,929.60, 74,883.60 and 21,849.60 is: 32,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,929.60 : 74,883.60 = 21,849.60 : x
  2. Step 2: Convert to fraction form
    49,929.60/74,883.60 = 21,849.60/x
  3. Step 3: Cross multiply
    49,929.60x = 74,883.60 × 21,849.60
  4. Step 4: Simplify right side
    49,929.60x = 1,636,176,706.56
  5. Step 5: Solve for x
    x = 1,636,176,706.56/49,929.60
  6. Step 6: Final answer
    x = 32,769.67

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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.