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Finding the Fourth Proportional to 27,402.01, 41,078.34 and 9,859.50

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Solution

The fourth proportional to 27,402.01, 41,078.34 and 9,859.50 is: 14,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.01 : 41,078.34 = 9,859.50 : x
  2. Step 2: Convert to fraction form
    27,402.01/41,078.34 = 9,859.50/x
  3. Step 3: Cross multiply
    27,402.01x = 41,078.34 × 9,859.50
  4. Step 4: Simplify right side
    27,402.01x = 405,011,893.23
  5. Step 5: Solve for x
    x = 405,011,893.23/27,402.01
  6. Step 6: Final answer
    x = 14,780.37

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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.