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Finding the Fourth Proportional to 32,284.94, 48,430.19 and 8,911.37

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Solution

The fourth proportional to 32,284.94, 48,430.19 and 8,911.37 is: 13,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,284.94 : 48,430.19 = 8,911.37 : x
  2. Step 2: Convert to fraction form
    32,284.94/48,430.19 = 8,911.37/x
  3. Step 3: Cross multiply
    32,284.94x = 48,430.19 × 8,911.37
  4. Step 4: Simplify right side
    32,284.94x = 431,579,485.61
  5. Step 5: Solve for x
    x = 431,579,485.61/32,284.94
  6. Step 6: Final answer
    x = 13,367.83

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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.