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Finding the Fourth Proportional to 64,007.80, 96,016.82 and 17,260

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Solution

The fourth proportional to 64,007.80, 96,016.82 and 17,260 is: 25,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,007.80 : 96,016.82 = 17,260 : x
  2. Step 2: Convert to fraction form
    64,007.80/96,016.82 = 17,260/x
  3. Step 3: Cross multiply
    64,007.80x = 96,016.82 × 17,260
  4. Step 4: Simplify right side
    64,007.80x = 1,657,250,313.20
  5. Step 5: Solve for x
    x = 1,657,250,313.20/64,007.80
  6. Step 6: Final answer
    x = 25,891.38

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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.