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Finding the Fourth Proportional to 109,668.94, 164,564.24 and 53,509.52

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Solution

The fourth proportional to 109,668.94, 164,564.24 and 53,509.52 is: 80,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,668.94 : 164,564.24 = 53,509.52 : x
  2. Step 2: Convert to fraction form
    109,668.94/164,564.24 = 53,509.52/x
  3. Step 3: Cross multiply
    109,668.94x = 164,564.24 × 53,509.52
  4. Step 4: Simplify right side
    109,668.94x = 8,805,753,491.56
  5. Step 5: Solve for x
    x = 8,805,753,491.56/109,668.94
  6. Step 6: Final answer
    x = 80,293.96

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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.