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Finding the Fourth Proportional to 36,026, 54,047.68 and 11,402

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Solution

The fourth proportional to 36,026, 54,047.68 and 11,402 is: 17,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026 : 54,047.68 = 11,402 : x
  2. Step 2: Convert to fraction form
    36,026/54,047.68 = 11,402/x
  3. Step 3: Cross multiply
    36,026x = 54,047.68 × 11,402
  4. Step 4: Simplify right side
    36,026x = 616,251,647.36
  5. Step 5: Solve for x
    x = 616,251,647.36/36,026
  6. Step 6: Final answer
    x = 17,105.75

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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.