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Finding the Fourth Proportional to 65,106.67, 89,849.10 and 36,811.75

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Solution

The fourth proportional to 65,106.67, 89,849.10 and 36,811.75 is: 50,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106.67 : 89,849.10 = 36,811.75 : x
  2. Step 2: Convert to fraction form
    65,106.67/89,849.10 = 36,811.75/x
  3. Step 3: Cross multiply
    65,106.67x = 89,849.10 × 36,811.75
  4. Step 4: Simplify right side
    65,106.67x = 3,307,502,606.93
  5. Step 5: Solve for x
    x = 3,307,502,606.93/65,106.67
  6. Step 6: Final answer
    x = 50,801.29

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