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Finding the Fourth Proportional to 30,477.73, 42,062.75 and 17,052.38

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Solution

The fourth proportional to 30,477.73, 42,062.75 and 17,052.38 is: 23,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477.73 : 42,062.75 = 17,052.38 : x
  2. Step 2: Convert to fraction form
    30,477.73/42,062.75 = 17,052.38/x
  3. Step 3: Cross multiply
    30,477.73x = 42,062.75 × 17,052.38
  4. Step 4: Simplify right side
    30,477.73x = 717,269,996.85
  5. Step 5: Solve for x
    x = 717,269,996.85/30,477.73
  6. Step 6: Final answer
    x = 23,534.24

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Why These Related Problems?

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