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Finding the Fourth Proportional to 109,529.68, 164,196.06 and 39,359.92

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Solution

The fourth proportional to 109,529.68, 164,196.06 and 39,359.92 is: 59,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,529.68 : 164,196.06 = 39,359.92 : x
  2. Step 2: Convert to fraction form
    109,529.68/164,196.06 = 39,359.92/x
  3. Step 3: Cross multiply
    109,529.68x = 164,196.06 × 39,359.92
  4. Step 4: Simplify right side
    109,529.68x = 6,462,743,785.92
  5. Step 5: Solve for x
    x = 6,462,743,785.92/109,529.68
  6. Step 6: Final answer
    x = 59,004.50

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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.