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Finding the Fourth Proportional to 29,465.68, 44,202.24 and 8,689.60

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Solution

The fourth proportional to 29,465.68, 44,202.24 and 8,689.60 is: 13,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.68 : 44,202.24 = 8,689.60 : x
  2. Step 2: Convert to fraction form
    29,465.68/44,202.24 = 8,689.60/x
  3. Step 3: Cross multiply
    29,465.68x = 44,202.24 × 8,689.60
  4. Step 4: Simplify right side
    29,465.68x = 384,099,784.70
  5. Step 5: Solve for x
    x = 384,099,784.70/29,465.68
  6. Step 6: Final answer
    x = 13,035.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.