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Finding the Fourth Proportional to 35,942.76, 53,911.26 and 9,647.40

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Solution

The fourth proportional to 35,942.76, 53,911.26 and 9,647.40 is: 14,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942.76 : 53,911.26 = 9,647.40 : x
  2. Step 2: Convert to fraction form
    35,942.76/53,911.26 = 9,647.40/x
  3. Step 3: Cross multiply
    35,942.76x = 53,911.26 × 9,647.40
  4. Step 4: Simplify right side
    35,942.76x = 520,103,489.72
  5. Step 5: Solve for x
    x = 520,103,489.72/35,942.76
  6. Step 6: Final answer
    x = 14,470.33

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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.