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Finding the Fourth Proportional to 102,284.37, 153,450.69 and 32,163.68

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Solution

The fourth proportional to 102,284.37, 153,450.69 and 32,163.68 is: 48,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284.37 : 153,450.69 = 32,163.68 : x
  2. Step 2: Convert to fraction form
    102,284.37/153,450.69 = 32,163.68/x
  3. Step 3: Cross multiply
    102,284.37x = 153,450.69 × 32,163.68
  4. Step 4: Simplify right side
    102,284.37x = 4,935,539,151.95
  5. Step 5: Solve for x
    x = 4,935,539,151.95/102,284.37
  6. Step 6: Final answer
    x = 48,253.11

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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.