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Finding the Fourth Proportional to 55,797.66, 83,702 and 18,342.54

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Solution

The fourth proportional to 55,797.66, 83,702 and 18,342.54 is: 27,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,797.66 : 83,702 = 18,342.54 : x
  2. Step 2: Convert to fraction form
    55,797.66/83,702 = 18,342.54/x
  3. Step 3: Cross multiply
    55,797.66x = 83,702 × 18,342.54
  4. Step 4: Simplify right side
    55,797.66x = 1,535,307,283.08
  5. Step 5: Solve for x
    x = 1,535,307,283.08/55,797.66
  6. Step 6: Final answer
    x = 27,515.62

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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.