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Finding the Fourth Proportional to 30,575.94, 42,194.28 and 17,147.16

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Solution

The fourth proportional to 30,575.94, 42,194.28 and 17,147.16 is: 23,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.94 : 42,194.28 = 17,147.16 : x
  2. Step 2: Convert to fraction form
    30,575.94/42,194.28 = 17,147.16/x
  3. Step 3: Cross multiply
    30,575.94x = 42,194.28 × 17,147.16
  4. Step 4: Simplify right side
    30,575.94x = 723,512,070.24
  5. Step 5: Solve for x
    x = 723,512,070.24/30,575.94
  6. Step 6: Final answer
    x = 23,662.79

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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.