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Finding the Fourth Proportional to 65,176.89, 89,923.14 and 36,492.33

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Solution

The fourth proportional to 65,176.89, 89,923.14 and 36,492.33 is: 50,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.89 : 89,923.14 = 36,492.33 : x
  2. Step 2: Convert to fraction form
    65,176.89/89,923.14 = 36,492.33/x
  3. Step 3: Cross multiply
    65,176.89x = 89,923.14 × 36,492.33
  4. Step 4: Simplify right side
    65,176.89x = 3,281,504,899.52
  5. Step 5: Solve for x
    x = 3,281,504,899.52/65,176.89
  6. Step 6: Final answer
    x = 50,347.68

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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.