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Finding the Fourth Proportional to 27,693.30, 41,521.08 and 15,860.46

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Solution

The fourth proportional to 27,693.30, 41,521.08 and 15,860.46 is: 23,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.30 : 41,521.08 = 15,860.46 : x
  2. Step 2: Convert to fraction form
    27,693.30/41,521.08 = 15,860.46/x
  3. Step 3: Cross multiply
    27,693.30x = 41,521.08 × 15,860.46
  4. Step 4: Simplify right side
    27,693.30x = 658,543,428.50
  5. Step 5: Solve for x
    x = 658,543,428.50/27,693.30
  6. Step 6: Final answer
    x = 23,779.88

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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.