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Finding the Fourth Proportional to 71,757.50, 107,653.54 and 22,509.50

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Solution

The fourth proportional to 71,757.50, 107,653.54 and 22,509.50 is: 33,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.50 : 107,653.54 = 22,509.50 : x
  2. Step 2: Convert to fraction form
    71,757.50/107,653.54 = 22,509.50/x
  3. Step 3: Cross multiply
    71,757.50x = 107,653.54 × 22,509.50
  4. Step 4: Simplify right side
    71,757.50x = 2,423,227,358.63
  5. Step 5: Solve for x
    x = 2,423,227,358.63/71,757.50
  6. Step 6: Final answer
    x = 33,769.67

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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.