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Finding the Fourth Proportional to 96,271.10, 144,416.30 and 33,082.90

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Solution

The fourth proportional to 96,271.10, 144,416.30 and 33,082.90 is: 49,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,271.10 : 144,416.30 = 33,082.90 : x
  2. Step 2: Convert to fraction form
    96,271.10/144,416.30 = 33,082.90/x
  3. Step 3: Cross multiply
    96,271.10x = 144,416.30 × 33,082.90
  4. Step 4: Simplify right side
    96,271.10x = 4,777,710,011.27
  5. Step 5: Solve for x
    x = 4,777,710,011.27/96,271.10
  6. Step 6: Final answer
    x = 49,627.67

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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.