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Finding the Fourth Proportional to 32,243.40, 48,367.26 and 11,461.32

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Solution

The fourth proportional to 32,243.40, 48,367.26 and 11,461.32 is: 17,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,243.40 : 48,367.26 = 11,461.32 : x
  2. Step 2: Convert to fraction form
    32,243.40/48,367.26 = 11,461.32/x
  3. Step 3: Cross multiply
    32,243.40x = 48,367.26 × 11,461.32
  4. Step 4: Simplify right side
    32,243.40x = 554,352,644.38
  5. Step 5: Solve for x
    x = 554,352,644.38/32,243.40
  6. Step 6: Final answer
    x = 17,192.75

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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.