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Finding the Fourth Proportional to 97,153.50, 145,736.10 and 30,595.80

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Solution

The fourth proportional to 97,153.50, 145,736.10 and 30,595.80 is: 45,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,153.50 : 145,736.10 = 30,595.80 : x
  2. Step 2: Convert to fraction form
    97,153.50/145,736.10 = 30,595.80/x
  3. Step 3: Cross multiply
    97,153.50x = 145,736.10 × 30,595.80
  4. Step 4: Simplify right side
    97,153.50x = 4,458,912,568.38
  5. Step 5: Solve for x
    x = 4,458,912,568.38/97,153.50
  6. Step 6: Final answer
    x = 45,895.54

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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.