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Finding the Fourth Proportional to 30,194.97, 45,089.12 and 24,659.30

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Solution

The fourth proportional to 30,194.97, 45,089.12 and 24,659.30 is: 36,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.97 : 45,089.12 = 24,659.30 : x
  2. Step 2: Convert to fraction form
    30,194.97/45,089.12 = 24,659.30/x
  3. Step 3: Cross multiply
    30,194.97x = 45,089.12 × 24,659.30
  4. Step 4: Simplify right side
    30,194.97x = 1,111,865,911.37
  5. Step 5: Solve for x
    x = 1,111,865,911.37/30,194.97
  6. Step 6: Final answer
    x = 36,822.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.