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Finding the Fourth Proportional to 32,333.51, 48,488.16 and 11,268.14

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Solution

The fourth proportional to 32,333.51, 48,488.16 and 11,268.14 is: 16,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,333.51 : 48,488.16 = 11,268.14 : x
  2. Step 2: Convert to fraction form
    32,333.51/48,488.16 = 11,268.14/x
  3. Step 3: Cross multiply
    32,333.51x = 48,488.16 × 11,268.14
  4. Step 4: Simplify right side
    32,333.51x = 546,371,375.22
  5. Step 5: Solve for x
    x = 546,371,375.22/32,333.51
  6. Step 6: Final answer
    x = 16,897.99

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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.