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Finding the Fourth Proportional to 32,802.67, 45,158.12 and 31,296.24

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Solution

The fourth proportional to 32,802.67, 45,158.12 and 31,296.24 is: 43,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802.67 : 45,158.12 = 31,296.24 : x
  2. Step 2: Convert to fraction form
    32,802.67/45,158.12 = 31,296.24/x
  3. Step 3: Cross multiply
    32,802.67x = 45,158.12 × 31,296.24
  4. Step 4: Simplify right side
    32,802.67x = 1,413,279,135.68
  5. Step 5: Solve for x
    x = 1,413,279,135.68/32,802.67
  6. Step 6: Final answer
    x = 43,084.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.