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Finding the Fourth Proportional to 32,952.32, 49,669.12 and 30,147.30

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Solution

The fourth proportional to 32,952.32, 49,669.12 and 30,147.30 is: 45,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.32 : 49,669.12 = 30,147.30 : x
  2. Step 2: Convert to fraction form
    32,952.32/49,669.12 = 30,147.30/x
  3. Step 3: Cross multiply
    32,952.32x = 49,669.12 × 30,147.30
  4. Step 4: Simplify right side
    32,952.32x = 1,497,389,861.38
  5. Step 5: Solve for x
    x = 1,497,389,861.38/32,952.32
  6. Step 6: Final answer
    x = 45,441.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.