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Finding the Fourth Proportional to 51,380.30, 77,069.35 and 23,678.30

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Solution

The fourth proportional to 51,380.30, 77,069.35 and 23,678.30 is: 35,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,380.30 : 77,069.35 = 23,678.30 : x
  2. Step 2: Convert to fraction form
    51,380.30/77,069.35 = 23,678.30/x
  3. Step 3: Cross multiply
    51,380.30x = 77,069.35 × 23,678.30
  4. Step 4: Simplify right side
    51,380.30x = 1,824,871,190.11
  5. Step 5: Solve for x
    x = 1,824,871,190.11/51,380.30
  6. Step 6: Final answer
    x = 35,516.94

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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.