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Finding the Fourth Proportional to 113,097.92, 169,645.44 and 27,709.64

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Solution

The fourth proportional to 113,097.92, 169,645.44 and 27,709.64 is: 41,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,097.92 : 169,645.44 = 27,709.64 : x
  2. Step 2: Convert to fraction form
    113,097.92/169,645.44 = 27,709.64/x
  3. Step 3: Cross multiply
    113,097.92x = 169,645.44 × 27,709.64
  4. Step 4: Simplify right side
    113,097.92x = 4,700,814,070.04
  5. Step 5: Solve for x
    x = 4,700,814,070.04/113,097.92
  6. Step 6: Final answer
    x = 41,564.11

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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.