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Finding the Fourth Proportional to 80,529, 120,810.78 and 31,281

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Solution

The fourth proportional to 80,529, 120,810.78 and 31,281 is: 46,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,529 : 120,810.78 = 31,281 : x
  2. Step 2: Convert to fraction form
    80,529/120,810.78 = 31,281/x
  3. Step 3: Cross multiply
    80,529x = 120,810.78 × 31,281
  4. Step 4: Simplify right side
    80,529x = 3,779,082,009.18
  5. Step 5: Solve for x
    x = 3,779,082,009.18/80,529
  6. Step 6: Final answer
    x = 46,928.21

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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.