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Finding the Fourth Proportional to 71,628.29, 107,491.79 and 24,881.16

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Solution

The fourth proportional to 71,628.29, 107,491.79 and 24,881.16 is: 37,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,628.29 : 107,491.79 = 24,881.16 : x
  2. Step 2: Convert to fraction form
    71,628.29/107,491.79 = 24,881.16/x
  3. Step 3: Cross multiply
    71,628.29x = 107,491.79 × 24,881.16
  4. Step 4: Simplify right side
    71,628.29x = 2,674,520,301.27
  5. Step 5: Solve for x
    x = 2,674,520,301.27/71,628.29
  6. Step 6: Final answer
    x = 37,338.89

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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.