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Finding the Fourth Proportional to 109,694.54, 164,507.76 and 39,564.74

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Solution

The fourth proportional to 109,694.54, 164,507.76 and 39,564.74 is: 59,334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,694.54 : 164,507.76 = 39,564.74 : x
  2. Step 2: Convert to fraction form
    109,694.54/164,507.76 = 39,564.74/x
  3. Step 3: Cross multiply
    109,694.54x = 164,507.76 × 39,564.74
  4. Step 4: Simplify right side
    109,694.54x = 6,508,705,929.84
  5. Step 5: Solve for x
    x = 6,508,705,929.84/109,694.54
  6. Step 6: Final answer
    x = 59,334.82

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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.