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Finding the Fourth Proportional to 65,093.70, 89,814.72 and 39,613.38

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Solution

The fourth proportional to 65,093.70, 89,814.72 and 39,613.38 is: 54,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.70 : 89,814.72 = 39,613.38 : x
  2. Step 2: Convert to fraction form
    65,093.70/89,814.72 = 39,613.38/x
  3. Step 3: Cross multiply
    65,093.70x = 89,814.72 × 39,613.38
  4. Step 4: Simplify right side
    65,093.70x = 3,557,864,632.95
  5. Step 5: Solve for x
    x = 3,557,864,632.95/65,093.70
  6. Step 6: Final answer
    x = 54,657.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.