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Finding the Fourth Proportional to 30,994.38, 42,771.33 and 17,566.86

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Solution

The fourth proportional to 30,994.38, 42,771.33 and 17,566.86 is: 24,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.38 : 42,771.33 = 17,566.86 : x
  2. Step 2: Convert to fraction form
    30,994.38/42,771.33 = 17,566.86/x
  3. Step 3: Cross multiply
    30,994.38x = 42,771.33 × 17,566.86
  4. Step 4: Simplify right side
    30,994.38x = 751,357,966.12
  5. Step 5: Solve for x
    x = 751,357,966.12/30,994.38
  6. Step 6: Final answer
    x = 24,241.75

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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.