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Finding the Fourth Proportional to 85,782.84, 128,678.36 and 41,446.88

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Solution

The fourth proportional to 85,782.84, 128,678.36 and 41,446.88 is: 62,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,782.84 : 128,678.36 = 41,446.88 : x
  2. Step 2: Convert to fraction form
    85,782.84/128,678.36 = 41,446.88/x
  3. Step 3: Cross multiply
    85,782.84x = 128,678.36 × 41,446.88
  4. Step 4: Simplify right side
    85,782.84x = 5,333,315,694.89
  5. Step 5: Solve for x
    x = 5,333,315,694.89/85,782.84
  6. Step 6: Final answer
    x = 62,172.29

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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.