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Finding the Fourth Proportional to 35,752.60, 53,644.74 and 12,395.80

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Solution

The fourth proportional to 35,752.60, 53,644.74 and 12,395.80 is: 18,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.60 : 53,644.74 = 12,395.80 : x
  2. Step 2: Convert to fraction form
    35,752.60/53,644.74 = 12,395.80/x
  3. Step 3: Cross multiply
    35,752.60x = 53,644.74 × 12,395.80
  4. Step 4: Simplify right side
    35,752.60x = 664,969,468.09
  5. Step 5: Solve for x
    x = 664,969,468.09/35,752.60
  6. Step 6: Final answer
    x = 18,599.19

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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.