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Finding the Fourth Proportional to 30,524.81, 42,082.88 and 26,096.13

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Solution

The fourth proportional to 30,524.81, 42,082.88 and 26,096.13 is: 35,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.81 : 42,082.88 = 26,096.13 : x
  2. Step 2: Convert to fraction form
    30,524.81/42,082.88 = 26,096.13/x
  3. Step 3: Cross multiply
    30,524.81x = 42,082.88 × 26,096.13
  4. Step 4: Simplify right side
    30,524.81x = 1,098,200,176.77
  5. Step 5: Solve for x
    x = 1,098,200,176.77/30,524.81
  6. Step 6: Final answer
    x = 35,977.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.