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Finding the Fourth Proportional to 48,378, 72,566.24 and 34,087.38

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Solution

The fourth proportional to 48,378, 72,566.24 and 34,087.38 is: 51,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,378 : 72,566.24 = 34,087.38 : x
  2. Step 2: Convert to fraction form
    48,378/72,566.24 = 34,087.38/x
  3. Step 3: Cross multiply
    48,378x = 72,566.24 × 34,087.38
  4. Step 4: Simplify right side
    48,378x = 2,473,592,998.05
  5. Step 5: Solve for x
    x = 2,473,592,998.05/48,378
  6. Step 6: Final answer
    x = 51,130.53

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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.