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Finding the Fourth Proportional to 43,586.85, 65,317.89 and 24,828.15

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Solution

The fourth proportional to 43,586.85, 65,317.89 and 24,828.15 is: 37,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,586.85 : 65,317.89 = 24,828.15 : x
  2. Step 2: Convert to fraction form
    43,586.85/65,317.89 = 24,828.15/x
  3. Step 3: Cross multiply
    43,586.85x = 65,317.89 × 24,828.15
  4. Step 4: Simplify right side
    43,586.85x = 1,621,722,044.01
  5. Step 5: Solve for x
    x = 1,621,722,044.01/43,586.85
  6. Step 6: Final answer
    x = 37,206.69

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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.