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Finding the Fourth Proportional to 38,496.76, 57,741.42 and 26,096.50

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Solution

The fourth proportional to 38,496.76, 57,741.42 and 26,096.50 is: 39,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.76 : 57,741.42 = 26,096.50 : x
  2. Step 2: Convert to fraction form
    38,496.76/57,741.42 = 26,096.50/x
  3. Step 3: Cross multiply
    38,496.76x = 57,741.42 × 26,096.50
  4. Step 4: Simplify right side
    38,496.76x = 1,506,848,967.03
  5. Step 5: Solve for x
    x = 1,506,848,967.03/38,496.76
  6. Step 6: Final answer
    x = 39,142.23

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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.