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Finding the Fourth Proportional to 65,393.43, 90,245.89 and 38,537.07

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Solution

The fourth proportional to 65,393.43, 90,245.89 and 38,537.07 is: 53,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,393.43 : 90,245.89 = 38,537.07 : x
  2. Step 2: Convert to fraction form
    65,393.43/90,245.89 = 38,537.07/x
  3. Step 3: Cross multiply
    65,393.43x = 90,245.89 × 38,537.07
  4. Step 4: Simplify right side
    65,393.43x = 3,477,811,728.91
  5. Step 5: Solve for x
    x = 3,477,811,728.91/65,393.43
  6. Step 6: Final answer
    x = 53,182.90

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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.