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Finding the Fourth Proportional to 30,369.06, 45,548.10 and 8,177.31

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Solution

The fourth proportional to 30,369.06, 45,548.10 and 8,177.31 is: 12,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369.06 : 45,548.10 = 8,177.31 : x
  2. Step 2: Convert to fraction form
    30,369.06/45,548.10 = 8,177.31/x
  3. Step 3: Cross multiply
    30,369.06x = 45,548.10 × 8,177.31
  4. Step 4: Simplify right side
    30,369.06x = 372,460,933.61
  5. Step 5: Solve for x
    x = 372,460,933.61/30,369.06
  6. Step 6: Final answer
    x = 12,264.49

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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.