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Finding the Fourth Proportional to 97,148.17, 145,727.43 and 30,593.49

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Solution

The fourth proportional to 97,148.17, 145,727.43 and 30,593.49 is: 45,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148.17 : 145,727.43 = 30,593.49 : x
  2. Step 2: Convert to fraction form
    97,148.17/145,727.43 = 30,593.49/x
  3. Step 3: Cross multiply
    97,148.17x = 145,727.43 × 30,593.49
  4. Step 4: Simplify right side
    97,148.17x = 4,458,310,672.43
  5. Step 5: Solve for x
    x = 4,458,310,672.43/97,148.17
  6. Step 6: Final answer
    x = 45,891.86

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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.