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Finding the Fourth Proportional to 41,283.94, 61,646.11 and 32,419.30

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Solution

The fourth proportional to 41,283.94, 61,646.11 and 32,419.30 is: 48,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,283.94 : 61,646.11 = 32,419.30 : x
  2. Step 2: Convert to fraction form
    41,283.94/61,646.11 = 32,419.30/x
  3. Step 3: Cross multiply
    41,283.94x = 61,646.11 × 32,419.30
  4. Step 4: Simplify right side
    41,283.94x = 1,998,523,733.92
  5. Step 5: Solve for x
    x = 1,998,523,733.92/41,283.94
  6. Step 6: Final answer
    x = 48,409.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.