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Finding the Fourth Proportional to 38,056.32, 57,078.72 and 13,092.48

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Solution

The fourth proportional to 38,056.32, 57,078.72 and 13,092.48 is: 19,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.32 : 57,078.72 = 13,092.48 : x
  2. Step 2: Convert to fraction form
    38,056.32/57,078.72 = 13,092.48/x
  3. Step 3: Cross multiply
    38,056.32x = 57,078.72 × 13,092.48
  4. Step 4: Simplify right side
    38,056.32x = 747,302,000.03
  5. Step 5: Solve for x
    x = 747,302,000.03/38,056.32
  6. Step 6: Final answer
    x = 19,636.74

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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.