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Finding the Fourth Proportional to 30,478.82, 42,064.26 and 17,053.48

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Solution

The fourth proportional to 30,478.82, 42,064.26 and 17,053.48 is: 23,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.82 : 42,064.26 = 17,053.48 : x
  2. Step 2: Convert to fraction form
    30,478.82/42,064.26 = 17,053.48/x
  3. Step 3: Cross multiply
    30,478.82x = 42,064.26 × 17,053.48
  4. Step 4: Simplify right side
    30,478.82x = 717,342,016.62
  5. Step 5: Solve for x
    x = 717,342,016.62/30,478.82
  6. Step 6: Final answer
    x = 23,535.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.