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Finding the Fourth Proportional to 35,433.50, 53,152.68 and 11,741

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Solution

The fourth proportional to 35,433.50, 53,152.68 and 11,741 is: 17,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,433.50 : 53,152.68 = 11,741 : x
  2. Step 2: Convert to fraction form
    35,433.50/53,152.68 = 11,741/x
  3. Step 3: Cross multiply
    35,433.50x = 53,152.68 × 11,741
  4. Step 4: Simplify right side
    35,433.50x = 624,065,615.88
  5. Step 5: Solve for x
    x = 624,065,615.88/35,433.50
  6. Step 6: Final answer
    x = 17,612.31

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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.