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Finding the Fourth Proportional to 35,840.98, 53,755.40 and 10,875

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Solution

The fourth proportional to 35,840.98, 53,755.40 and 10,875 is: 16,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,840.98 : 53,755.40 = 10,875 : x
  2. Step 2: Convert to fraction form
    35,840.98/53,755.40 = 10,875/x
  3. Step 3: Cross multiply
    35,840.98x = 53,755.40 × 10,875
  4. Step 4: Simplify right side
    35,840.98x = 584,589,975
  5. Step 5: Solve for x
    x = 584,589,975/35,840.98
  6. Step 6: Final answer
    x = 16,310.66

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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.