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Finding the Fourth Proportional to 32,883.64, 49,332.90 and 9,511.96

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Solution

The fourth proportional to 32,883.64, 49,332.90 and 9,511.96 is: 14,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.64 : 49,332.90 = 9,511.96 : x
  2. Step 2: Convert to fraction form
    32,883.64/49,332.90 = 9,511.96/x
  3. Step 3: Cross multiply
    32,883.64x = 49,332.90 × 9,511.96
  4. Step 4: Simplify right side
    32,883.64x = 469,252,571.48
  5. Step 5: Solve for x
    x = 469,252,571.48/32,883.64
  6. Step 6: Final answer
    x = 14,270.09

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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.