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Finding the Fourth Proportional to 109,892.92, 164,858.99 and 38,856.81

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Solution

The fourth proportional to 109,892.92, 164,858.99 and 38,856.81 is: 58,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.92 : 164,858.99 = 38,856.81 : x
  2. Step 2: Convert to fraction form
    109,892.92/164,858.99 = 38,856.81/x
  3. Step 3: Cross multiply
    109,892.92x = 164,858.99 × 38,856.81
  4. Step 4: Simplify right side
    109,892.92x = 6,405,893,885.29
  5. Step 5: Solve for x
    x = 6,405,893,885.29/109,892.92
  6. Step 6: Final answer
    x = 58,292.14

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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.