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Finding the Fourth Proportional to 56,099.44, 84,209.82 and 49,899.16

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Solution

The fourth proportional to 56,099.44, 84,209.82 and 49,899.16 is: 74,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,099.44 : 84,209.82 = 49,899.16 : x
  2. Step 2: Convert to fraction form
    56,099.44/84,209.82 = 49,899.16/x
  3. Step 3: Cross multiply
    56,099.44x = 84,209.82 × 49,899.16
  4. Step 4: Simplify right side
    56,099.44x = 4,201,999,281.75
  5. Step 5: Solve for x
    x = 4,201,999,281.75/56,099.44
  6. Step 6: Final answer
    x = 74,902.70

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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.