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Finding the Fourth Proportional to 35,377.50, 53,054.96 and 11,680.64

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Solution

The fourth proportional to 35,377.50, 53,054.96 and 11,680.64 is: 17,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,377.50 : 53,054.96 = 11,680.64 : x
  2. Step 2: Convert to fraction form
    35,377.50/53,054.96 = 11,680.64/x
  3. Step 3: Cross multiply
    35,377.50x = 53,054.96 × 11,680.64
  4. Step 4: Simplify right side
    35,377.50x = 619,715,887.97
  5. Step 5: Solve for x
    x = 619,715,887.97/35,377.50
  6. Step 6: Final answer
    x = 17,517.23

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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.