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Finding the Fourth Proportional to 55,102.75, 82,661.90 and 17,654.06

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Solution

The fourth proportional to 55,102.75, 82,661.90 and 17,654.06 is: 26,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.75 : 82,661.90 = 17,654.06 : x
  2. Step 2: Convert to fraction form
    55,102.75/82,661.90 = 17,654.06/x
  3. Step 3: Cross multiply
    55,102.75x = 82,661.90 × 17,654.06
  4. Step 4: Simplify right side
    55,102.75x = 1,459,317,935.66
  5. Step 5: Solve for x
    x = 1,459,317,935.66/55,102.75
  6. Step 6: Final answer
    x = 26,483.58

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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.