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Finding the Fourth Proportional to 97,747.80, 146,592.45 and 50,975.16

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Solution

The fourth proportional to 97,747.80, 146,592.45 and 50,975.16 is: 76,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,747.80 : 146,592.45 = 50,975.16 : x
  2. Step 2: Convert to fraction form
    97,747.80/146,592.45 = 50,975.16/x
  3. Step 3: Cross multiply
    97,747.80x = 146,592.45 × 50,975.16
  4. Step 4: Simplify right side
    97,747.80x = 7,472,573,593.54
  5. Step 5: Solve for x
    x = 7,472,573,593.54/97,747.80
  6. Step 6: Final answer
    x = 76,447.49

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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.