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Finding the Fourth Proportional to 27,897.96, 41,835.96 and 10,124.40

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Solution

The fourth proportional to 27,897.96, 41,835.96 and 10,124.40 is: 15,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.96 : 41,835.96 = 10,124.40 : x
  2. Step 2: Convert to fraction form
    27,897.96/41,835.96 = 10,124.40/x
  3. Step 3: Cross multiply
    27,897.96x = 41,835.96 × 10,124.40
  4. Step 4: Simplify right side
    27,897.96x = 423,563,993.42
  5. Step 5: Solve for x
    x = 423,563,993.42/27,897.96
  6. Step 6: Final answer
    x = 15,182.62

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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.