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Finding the Fourth Proportional to 97,151.50, 145,733.10 and 30,593.80

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Solution

The fourth proportional to 97,151.50, 145,733.10 and 30,593.80 is: 45,892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,151.50 : 145,733.10 = 30,593.80 : x
  2. Step 2: Convert to fraction form
    97,151.50/145,733.10 = 30,593.80/x
  3. Step 3: Cross multiply
    97,151.50x = 145,733.10 × 30,593.80
  4. Step 4: Simplify right side
    97,151.50x = 4,458,529,314.78
  5. Step 5: Solve for x
    x = 4,458,529,314.78/97,151.50
  6. Step 6: Final answer
    x = 45,892.54

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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.