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Finding the Fourth Proportional to 30,544.28, 45,846 and 14,760.42

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Solution

The fourth proportional to 30,544.28, 45,846 and 14,760.42 is: 22,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544.28 : 45,846 = 14,760.42 : x
  2. Step 2: Convert to fraction form
    30,544.28/45,846 = 14,760.42/x
  3. Step 3: Cross multiply
    30,544.28x = 45,846 × 14,760.42
  4. Step 4: Simplify right side
    30,544.28x = 676,706,215.32
  5. Step 5: Solve for x
    x = 676,706,215.32/30,544.28
  6. Step 6: Final answer
    x = 22,154.92

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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.