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Finding the Fourth Proportional to 28,538.40, 42,799.92 and 10,068

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Solution

The fourth proportional to 28,538.40, 42,799.92 and 10,068 is: 15,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.40 : 42,799.92 = 10,068 : x
  2. Step 2: Convert to fraction form
    28,538.40/42,799.92 = 10,068/x
  3. Step 3: Cross multiply
    28,538.40x = 42,799.92 × 10,068
  4. Step 4: Simplify right side
    28,538.40x = 430,909,594.56
  5. Step 5: Solve for x
    x = 430,909,594.56/28,538.40
  6. Step 6: Final answer
    x = 15,099.29

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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.