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Finding the Fourth Proportional to 55,032.16, 82,522.96 and 17,583.96

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Solution

The fourth proportional to 55,032.16, 82,522.96 and 17,583.96 is: 26,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,032.16 : 82,522.96 = 17,583.96 : x
  2. Step 2: Convert to fraction form
    55,032.16/82,522.96 = 17,583.96/x
  3. Step 3: Cross multiply
    55,032.16x = 82,522.96 × 17,583.96
  4. Step 4: Simplify right side
    55,032.16x = 1,451,080,427.72
  5. Step 5: Solve for x
    x = 1,451,080,427.72/55,032.16
  6. Step 6: Final answer
    x = 26,367.86

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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.