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Finding the Fourth Proportional to 65,112.86, 97,669.29 and 30,033.38

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Solution

The fourth proportional to 65,112.86, 97,669.29 and 30,033.38 is: 45,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.86 : 97,669.29 = 30,033.38 : x
  2. Step 2: Convert to fraction form
    65,112.86/97,669.29 = 30,033.38/x
  3. Step 3: Cross multiply
    65,112.86x = 97,669.29 × 30,033.38
  4. Step 4: Simplify right side
    65,112.86x = 2,933,339,257.70
  5. Step 5: Solve for x
    x = 2,933,339,257.70/65,112.86
  6. Step 6: Final answer
    x = 45,050.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.