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Finding the Fourth Proportional to 35,786.26, 53,662.73 and 13,281.26

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Solution

The fourth proportional to 35,786.26, 53,662.73 and 13,281.26 is: 19,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.26 : 53,662.73 = 13,281.26 : x
  2. Step 2: Convert to fraction form
    35,786.26/53,662.73 = 13,281.26/x
  3. Step 3: Cross multiply
    35,786.26x = 53,662.73 × 13,281.26
  4. Step 4: Simplify right side
    35,786.26x = 712,708,334.72
  5. Step 5: Solve for x
    x = 712,708,334.72/35,786.26
  6. Step 6: Final answer
    x = 19,915.70

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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.