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Finding the Fourth Proportional to 29,358.64, 44,037.96 and 8,582.14

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Solution

The fourth proportional to 29,358.64, 44,037.96 and 8,582.14 is: 12,873.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,358.64 : 44,037.96 = 8,582.14 : x
  2. Step 2: Convert to fraction form
    29,358.64/44,037.96 = 8,582.14/x
  3. Step 3: Cross multiply
    29,358.64x = 44,037.96 × 8,582.14
  4. Step 4: Simplify right side
    29,358.64x = 377,939,938.03
  5. Step 5: Solve for x
    x = 377,939,938.03/29,358.64
  6. Step 6: Final answer
    x = 12,873.21

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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.