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Finding the Fourth Proportional to 30,623.28, 45,934.92 and 9,849.84

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Solution

The fourth proportional to 30,623.28, 45,934.92 and 9,849.84 is: 14,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,623.28 : 45,934.92 = 9,849.84 : x
  2. Step 2: Convert to fraction form
    30,623.28/45,934.92 = 9,849.84/x
  3. Step 3: Cross multiply
    30,623.28x = 45,934.92 × 9,849.84
  4. Step 4: Simplify right side
    30,623.28x = 452,451,612.41
  5. Step 5: Solve for x
    x = 452,451,612.41/30,623.28
  6. Step 6: Final answer
    x = 14,774.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.