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Finding the Fourth Proportional to 61,105.64, 91,606.20 and 27,813.82

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Solution

The fourth proportional to 61,105.64, 91,606.20 and 27,813.82 is: 41,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,105.64 : 91,606.20 = 27,813.82 : x
  2. Step 2: Convert to fraction form
    61,105.64/91,606.20 = 27,813.82/x
  3. Step 3: Cross multiply
    61,105.64x = 91,606.20 × 27,813.82
  4. Step 4: Simplify right side
    61,105.64x = 2,547,918,357.68
  5. Step 5: Solve for x
    x = 2,547,918,357.68/61,105.64
  6. Step 6: Final answer
    x = 41,696.94

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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.