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Finding the Fourth Proportional to 38,298.49, 57,447.77 and 12,005.28

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Solution

The fourth proportional to 38,298.49, 57,447.77 and 12,005.28 is: 18,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.49 : 57,447.77 = 12,005.28 : x
  2. Step 2: Convert to fraction form
    38,298.49/57,447.77 = 12,005.28/x
  3. Step 3: Cross multiply
    38,298.49x = 57,447.77 × 12,005.28
  4. Step 4: Simplify right side
    38,298.49x = 689,676,504.20
  5. Step 5: Solve for x
    x = 689,676,504.20/38,298.49
  6. Step 6: Final answer
    x = 18,007.93

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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.