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Finding the Fourth Proportional to 30,384.31, 45,572.82 and 8,195.98

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Solution

The fourth proportional to 30,384.31, 45,572.82 and 8,195.98 is: 12,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.31 : 45,572.82 = 8,195.98 : x
  2. Step 2: Convert to fraction form
    30,384.31/45,572.82 = 8,195.98/x
  3. Step 3: Cross multiply
    30,384.31x = 45,572.82 × 8,195.98
  4. Step 4: Simplify right side
    30,384.31x = 373,513,921.26
  5. Step 5: Solve for x
    x = 373,513,921.26/30,384.31
  6. Step 6: Final answer
    x = 12,292.99

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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.