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Finding the Fourth Proportional to 30,199.30, 45,302.60 and 8,013.08

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Solution

The fourth proportional to 30,199.30, 45,302.60 and 8,013.08 is: 12,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.30 : 45,302.60 = 8,013.08 : x
  2. Step 2: Convert to fraction form
    30,199.30/45,302.60 = 8,013.08/x
  3. Step 3: Cross multiply
    30,199.30x = 45,302.60 × 8,013.08
  4. Step 4: Simplify right side
    30,199.30x = 363,013,491.30
  5. Step 5: Solve for x
    x = 363,013,491.30/30,199.30
  6. Step 6: Final answer
    x = 12,020.59

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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.