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Finding the Fourth Proportional to 35,687.85, 53,537.78 and 12,308.82

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Solution

The fourth proportional to 35,687.85, 53,537.78 and 12,308.82 is: 18,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.85 : 53,537.78 = 12,308.82 : x
  2. Step 2: Convert to fraction form
    35,687.85/53,537.78 = 12,308.82/x
  3. Step 3: Cross multiply
    35,687.85x = 53,537.78 × 12,308.82
  4. Step 4: Simplify right side
    35,687.85x = 658,986,897.22
  5. Step 5: Solve for x
    x = 658,986,897.22/35,687.85
  6. Step 6: Final answer
    x = 18,465.30

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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.