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Finding the Fourth Proportional to 35,751.97, 53,642.67 and 12,394.81

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Solution

The fourth proportional to 35,751.97, 53,642.67 and 12,394.81 is: 18,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.97 : 53,642.67 = 12,394.81 : x
  2. Step 2: Convert to fraction form
    35,751.97/53,642.67 = 12,394.81/x
  3. Step 3: Cross multiply
    35,751.97x = 53,642.67 × 12,394.81
  4. Step 4: Simplify right side
    35,751.97x = 664,890,702.54
  5. Step 5: Solve for x
    x = 664,890,702.54/35,751.97
  6. Step 6: Final answer
    x = 18,597.32

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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.