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Finding the Fourth Proportional to 64,589.85, 96,782.45 and 49,834.89

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Solution

The fourth proportional to 64,589.85, 96,782.45 and 49,834.89 is: 74,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,589.85 : 96,782.45 = 49,834.89 : x
  2. Step 2: Convert to fraction form
    64,589.85/96,782.45 = 49,834.89/x
  3. Step 3: Cross multiply
    64,589.85x = 96,782.45 × 49,834.89
  4. Step 4: Simplify right side
    64,589.85x = 4,823,142,500.51
  5. Step 5: Solve for x
    x = 4,823,142,500.51/64,589.85
  6. Step 6: Final answer
    x = 74,673.38

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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.