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Finding the Fourth Proportional to 30,423.62, 45,639.82 and 9,365.46

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Solution

The fourth proportional to 30,423.62, 45,639.82 and 9,365.46 is: 14,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.62 : 45,639.82 = 9,365.46 : x
  2. Step 2: Convert to fraction form
    30,423.62/45,639.82 = 9,365.46/x
  3. Step 3: Cross multiply
    30,423.62x = 45,639.82 × 9,365.46
  4. Step 4: Simplify right side
    30,423.62x = 427,437,908.62
  5. Step 5: Solve for x
    x = 427,437,908.62/30,423.62
  6. Step 6: Final answer
    x = 14,049.54

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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.