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Finding the Fourth Proportional to 35,757.45, 53,619.49 and 13,267.23

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Solution

The fourth proportional to 35,757.45, 53,619.49 and 13,267.23 is: 19,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.45 : 53,619.49 = 13,267.23 : x
  2. Step 2: Convert to fraction form
    35,757.45/53,619.49 = 13,267.23/x
  3. Step 3: Cross multiply
    35,757.45x = 53,619.49 × 13,267.23
  4. Step 4: Simplify right side
    35,757.45x = 711,382,106.31
  5. Step 5: Solve for x
    x = 711,382,106.31/35,757.45
  6. Step 6: Final answer
    x = 19,894.65

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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.