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Finding the Fourth Proportional to 38,282.58, 57,428.19 and 17,500.50

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Solution

The fourth proportional to 38,282.58, 57,428.19 and 17,500.50 is: 26,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.58 : 57,428.19 = 17,500.50 : x
  2. Step 2: Convert to fraction form
    38,282.58/57,428.19 = 17,500.50/x
  3. Step 3: Cross multiply
    38,282.58x = 57,428.19 × 17,500.50
  4. Step 4: Simplify right side
    38,282.58x = 1,005,022,039.10
  5. Step 5: Solve for x
    x = 1,005,022,039.10/38,282.58
  6. Step 6: Final answer
    x = 26,252.72

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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.