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Finding the Fourth Proportional to 35,084.80, 52,601.60 and 14,297.60

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Solution

The fourth proportional to 35,084.80, 52,601.60 and 14,297.60 is: 21,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,084.80 : 52,601.60 = 14,297.60 : x
  2. Step 2: Convert to fraction form
    35,084.80/52,601.60 = 14,297.60/x
  3. Step 3: Cross multiply
    35,084.80x = 52,601.60 × 14,297.60
  4. Step 4: Simplify right side
    35,084.80x = 752,076,636.16
  5. Step 5: Solve for x
    x = 752,076,636.16/35,084.80
  6. Step 6: Final answer
    x = 21,435.97

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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.