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Finding the Fourth Proportional to 55,911.75, 83,806.63 and 27,468.28

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Solution

The fourth proportional to 55,911.75, 83,806.63 and 27,468.28 is: 41,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,911.75 : 83,806.63 = 27,468.28 : x
  2. Step 2: Convert to fraction form
    55,911.75/83,806.63 = 27,468.28/x
  3. Step 3: Cross multiply
    55,911.75x = 83,806.63 × 27,468.28
  4. Step 4: Simplify right side
    55,911.75x = 2,302,023,841.36
  5. Step 5: Solve for x
    x = 2,302,023,841.36/55,911.75
  6. Step 6: Final answer
    x = 41,172.45

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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.