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Finding the Fourth Proportional to 27,902.07, 41,815.17 and 15,403.50

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Solution

The fourth proportional to 27,902.07, 41,815.17 and 15,403.50 is: 23,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.07 : 41,815.17 = 15,403.50 : x
  2. Step 2: Convert to fraction form
    27,902.07/41,815.17 = 15,403.50/x
  3. Step 3: Cross multiply
    27,902.07x = 41,815.17 × 15,403.50
  4. Step 4: Simplify right side
    27,902.07x = 644,099,971.10
  5. Step 5: Solve for x
    x = 644,099,971.10/27,902.07
  6. Step 6: Final answer
    x = 23,084.31

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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.