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Finding the Fourth Proportional to 30,200.49, 45,302.99 and 8,013.38

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Solution

The fourth proportional to 30,200.49, 45,302.99 and 8,013.38 is: 12,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.49 : 45,302.99 = 8,013.38 : x
  2. Step 2: Convert to fraction form
    30,200.49/45,302.99 = 8,013.38/x
  3. Step 3: Cross multiply
    30,200.49x = 45,302.99 × 8,013.38
  4. Step 4: Simplify right side
    30,200.49x = 363,029,807.42
  5. Step 5: Solve for x
    x = 363,029,807.42/30,200.49
  6. Step 6: Final answer
    x = 12,020.66

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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.