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Finding the Fourth Proportional to 27,201.70, 40,802.55 and 15,537.70

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Solution

The fourth proportional to 27,201.70, 40,802.55 and 15,537.70 is: 23,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,201.70 : 40,802.55 = 15,537.70 : x
  2. Step 2: Convert to fraction form
    27,201.70/40,802.55 = 15,537.70/x
  3. Step 3: Cross multiply
    27,201.70x = 40,802.55 × 15,537.70
  4. Step 4: Simplify right side
    27,201.70x = 633,977,781.14
  5. Step 5: Solve for x
    x = 633,977,781.14/27,201.70
  6. Step 6: Final answer
    x = 23,306.55

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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.