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Finding the Fourth Proportional to 97,376.20, 146,062.80 and 49,963.94

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Solution

The fourth proportional to 97,376.20, 146,062.80 and 49,963.94 is: 74,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376.20 : 146,062.80 = 49,963.94 : x
  2. Step 2: Convert to fraction form
    97,376.20/146,062.80 = 49,963.94/x
  3. Step 3: Cross multiply
    97,376.20x = 146,062.80 × 49,963.94
  4. Step 4: Simplify right side
    97,376.20x = 7,297,872,975.43
  5. Step 5: Solve for x
    x = 7,297,872,975.43/97,376.20
  6. Step 6: Final answer
    x = 74,945.14

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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.