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Finding the Fourth Proportional to 34,411.89, 51,588.57 and 15,685.32

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Solution

The fourth proportional to 34,411.89, 51,588.57 and 15,685.32 is: 23,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,411.89 : 51,588.57 = 15,685.32 : x
  2. Step 2: Convert to fraction form
    34,411.89/51,588.57 = 15,685.32/x
  3. Step 3: Cross multiply
    34,411.89x = 51,588.57 × 15,685.32
  4. Step 4: Simplify right side
    34,411.89x = 809,183,228.79
  5. Step 5: Solve for x
    x = 809,183,228.79/34,411.89
  6. Step 6: Final answer
    x = 23,514.64

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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.