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Finding the Fourth Proportional to 76,202.38, 105,792.74 and 73,921.42

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Solution

The fourth proportional to 76,202.38, 105,792.74 and 73,921.42 is: 102,626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.38 : 105,792.74 = 73,921.42 : x
  2. Step 2: Convert to fraction form
    76,202.38/105,792.74 = 73,921.42/x
  3. Step 3: Cross multiply
    76,202.38x = 105,792.74 × 73,921.42
  4. Step 4: Simplify right side
    76,202.38x = 7,820,349,566.49
  5. Step 5: Solve for x
    x = 7,820,349,566.49/76,202.38
  6. Step 6: Final answer
    x = 102,626.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.