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Finding the Fourth Proportional to 49,539.72, 74,316.84 and 23,247.12

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Solution

The fourth proportional to 49,539.72, 74,316.84 and 23,247.12 is: 34,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,539.72 : 74,316.84 = 23,247.12 : x
  2. Step 2: Convert to fraction form
    49,539.72/74,316.84 = 23,247.12/x
  3. Step 3: Cross multiply
    49,539.72x = 74,316.84 × 23,247.12
  4. Step 4: Simplify right side
    49,539.72x = 1,727,652,497.50
  5. Step 5: Solve for x
    x = 1,727,652,497.50/49,539.72
  6. Step 6: Final answer
    x = 34,874.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.