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Finding the Fourth Proportional to 97,082.72, 145,676.40 and 40,961.72

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Solution

The fourth proportional to 97,082.72, 145,676.40 and 40,961.72 is: 61,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082.72 : 145,676.40 = 40,961.72 : x
  2. Step 2: Convert to fraction form
    97,082.72/145,676.40 = 40,961.72/x
  3. Step 3: Cross multiply
    97,082.72x = 145,676.40 × 40,961.72
  4. Step 4: Simplify right side
    97,082.72x = 5,967,156,117.99
  5. Step 5: Solve for x
    x = 5,967,156,117.99/97,082.72
  6. Step 6: Final answer
    x = 61,464.66

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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.