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Finding the Fourth Proportional to 35,420.48, 53,096.16 and 16,965.44

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Solution

The fourth proportional to 35,420.48, 53,096.16 and 16,965.44 is: 25,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.48 : 53,096.16 = 16,965.44 : x
  2. Step 2: Convert to fraction form
    35,420.48/53,096.16 = 16,965.44/x
  3. Step 3: Cross multiply
    35,420.48x = 53,096.16 × 16,965.44
  4. Step 4: Simplify right side
    35,420.48x = 900,799,716.71
  5. Step 5: Solve for x
    x = 900,799,716.71/35,420.48
  6. Step 6: Final answer
    x = 25,431.61

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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.