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Finding the Fourth Proportional to 30,083.56, 45,096.96 and 10,348.32

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Solution

The fourth proportional to 30,083.56, 45,096.96 and 10,348.32 is: 15,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.56 : 45,096.96 = 10,348.32 : x
  2. Step 2: Convert to fraction form
    30,083.56/45,096.96 = 10,348.32/x
  3. Step 3: Cross multiply
    30,083.56x = 45,096.96 × 10,348.32
  4. Step 4: Simplify right side
    30,083.56x = 466,677,773.11
  5. Step 5: Solve for x
    x = 466,677,773.11/30,083.56
  6. Step 6: Final answer
    x = 15,512.72

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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.