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Finding the Fourth Proportional to 29,293.68, 43,946.32 and 9,566.96

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Solution

The fourth proportional to 29,293.68, 43,946.32 and 9,566.96 is: 14,352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,293.68 : 43,946.32 = 9,566.96 : x
  2. Step 2: Convert to fraction form
    29,293.68/43,946.32 = 9,566.96/x
  3. Step 3: Cross multiply
    29,293.68x = 43,946.32 × 9,566.96
  4. Step 4: Simplify right side
    29,293.68x = 420,432,685.59
  5. Step 5: Solve for x
    x = 420,432,685.59/29,293.68
  6. Step 6: Final answer
    x = 14,352.33

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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.