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Finding the Fourth Proportional to 30,200.49, 45,303.03 and 8,013.42

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Solution

The fourth proportional to 30,200.49, 45,303.03 and 8,013.42 is: 12,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.49 : 45,303.03 = 8,013.42 : x
  2. Step 2: Convert to fraction form
    30,200.49/45,303.03 = 8,013.42/x
  3. Step 3: Cross multiply
    30,200.49x = 45,303.03 × 8,013.42
  4. Step 4: Simplify right side
    30,200.49x = 363,032,206.66
  5. Step 5: Solve for x
    x = 363,032,206.66/30,200.49
  6. Step 6: Final answer
    x = 12,020.74

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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.